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10th Edition

Jerome E. Kaufmann + 1 other

Publisher: Cengage Learning

ISBN: 9781285195728

Chapter 5.CR, Problem 23CR

Textbook Problem

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For Problems 23-34, express the radical in simplest radical form. Assume the variables represent positive real numbers.

To determine

**To find:**

The simplest form of the radical

The given radical is

Express the radicand of the given radical as a product of two factors.

Of the two factors, one must be a perfect n^{th} power other than

Since, square root is to be find out, one factor must be a perfect square.

By the property of product of two radicals with same index,

Applying this property,

Here

Find the value of the radical

Definition of principal square root

Intermediate Algebra

Show all chapter solutions

Ch. 5.1 - For problems 1 10, answer true or false. 25-2=522Ch. 5.1 - For problems 1 10, answer true or false. 3032=92Ch. 5.1 - For problems 1 10, answer true or false. S2-424=2Ch. 5.1 - For problems 1 10, answer true or false. 4-2-1=16Ch. 5.1 - For problems 1 10, answer true or false....Ch. 5.1 - For problems 1 10, answer true or false....Ch. 5.1 - For problems 1 10, answer true or false....Ch. 5.1 - For problems 1 10, answer true or false....Ch. 5.1 - For problems 1 10, answer true or false....Ch. 5.1 - For problems 1 10, answer true or false....

Ch. 5.1 - For Problems 1 42, simplify each numerical...Ch. 5.1 - For Problems 1 42, simplify each numerical...Ch. 5.1 - For Problems 1 42, simplify each numerical...Ch. 5.1 - For Problems 1 42, simplify each numerical...Ch. 5.1 - For Problems 1 42, simplify each numerical...Ch. 5.1 - For Problems 1 42, simplify each numerical...Ch. 5.1 - For Problems 1 42, simplify each numerical...Ch. 5.1 - For Problems 1 42, simplify each numerical...Ch. 5.1 - For Problems 1 42, simplify each numerical...Ch. 5.1 - For Problems 1 42, simplify each numerical...Ch. 5.1 - For Problems 1 42, simplify each numerical...Ch. 5.1 - For Problems 1 42, simplify each numerical...Ch. 5.1 - For Problems 1 42, simplify each numerical...Ch. 5.1 - For Problems 1 42, simplify each numerical...Ch. 5.1 - For Problems 1 42, simplify each numerical...Ch. 5.1 - For Problems 1 42, simplify each numerical...Ch. 5.1 - For Problems 1 42, simplify each numerical...Ch. 5.1 - For Problems 1 42, simplify each numerical...Ch. 5.1 - 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For Problems 21-74, change each radical to...Ch. 5.2 - For Problems 21-74, change each radical to...Ch. 5.2 - For Problems 21-74, change each radical to...Ch. 5.2 - For Problems 75-80, use radicals to solve the...Ch. 5.2 - For Problems 75-80, use radicals to solve the...Ch. 5.2 - For Problems 75-80, use radicals to solve the...Ch. 5.2 - For Problems 75-80, use radicals to solve the...Ch. 5.2 - For Problems 75-80, use radicals to solve the...Ch. 5.2 - For Problems 75-80, use radicals to solve the...Ch. 5.2 - Why is -9 not a real number?Ch. 5.2 - Why is it that we say 25 has two square roots 5...Ch. 5.2 - How is the multiplication property of 1 used when...Ch. 5.2 - How could you find a whole number approximation...Ch. 5.2 - Use your calculator to find a rational...Ch. 5.2 - Sometimes a fairly good estimate can be made of a...Ch. 5.3 - For Problems, 1-10, answer true or false. 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If x0,...Ch. 5.3 - For Problems 1-20, use the distributive property...Ch. 5.3 - For Problems 1-20, use the distributive property...Ch. 5.3 - For Problems 1-20, use the distributive property...Ch. 5.3 - For Problems 1-20, use the distributive property...Ch. 5.3 - For Problems 1-20, use the distributive property...Ch. 5.3 - For Problems 1-20, use the distributive property...Ch. 5.3 - For Problems 1-20, use the distributive property...Ch. 5.3 - For Problems 1-20, use the distributive property...Ch. 5.3 - For Problems 1-20, use the distributive property...Ch. 5.3 - For Problems 1-20, use the distributive property...Ch. 5.3 - For Problems 1-20, use the distributive property...Ch. 5.3 - For Problems 1-20, use the distributive property...Ch. 5.3 - For Problems 1-20, use the distributive property...Ch. 5.3 - For Problems 1-20, use the distributive property...Ch. 5.3 - For Problems 1-20, use the distributive property...Ch. 5.3 - For Problems 1-20, use the distributive property...Ch. 5.3 - For Problems 1-20, use the distributive property...Ch. 5.3 - For Problems 1-20, use the distributive property...Ch. 5.3 - For Problems 1-20, use the distributive property...Ch. 5.3 - For Problems 1-20, use the distributive property...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 21-64, express each of the following...Ch. 5.3 - For problems 65-74, use the distributive property...Ch. 5.3 - For problems 65-74, use the distributive property...Ch. 5.3 - For problems 65-74, use the distributive property...Ch. 5.3 - For problems 65-74, use the distributive property...Ch. 5.3 - For problems 65-74, use the distributive property...Ch. 5.3 - For problems 65-74, use the distributive property...Ch. 5.3 - For problems 65-74, use the distributive property...Ch. 5.3 - For problems 65-74, use the distributive property...Ch. 5.3 - For problems 65-74, use the distributive property...Ch. 5.3 - For problems 65-74, use the distributive property...Ch. 5.3 - Is the expression 32+50 in simplest radical form?...Ch. 5.3 - Your friend simplified 68 as follows:...Ch. 5.3 - Does x+y equal x+y? Defend your answer?Ch. 5.3 - Use your calculator and evaluate each expression...Ch. 5.3 - Do the following problems, in which the variable...Ch. 5.4 - For Problems 1-10, answer true or false. The...Ch. 5.4 - For Problems 1-10, answer true or false. The...Ch. 5.4 - For Problems 1-10, answer true or false. The...Ch. 5.4 - For Problems 1-10, answer true or false. The...Ch. 5.4 - For Problems 1-10, answer true or false. To...Ch. 5.4 - For Problems 1-10, answer true or false. To...Ch. 5.4 - For Problems 1-10, answer true or false. 8+122=2+6Ch. 5.4 - For Problems 1-10, answer true or false....Ch. 5.4 - For Problems 1-10, answer true or false. The...Ch. 5.4 - For Problems 1-10, answer true or false. 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The...Ch. 5.6 - For Problems 1-10, answer true or false. -16-3=164Ch. 5.6 - For Problems 1-10, answer true or false. 773=76Ch. 5.6 - For Problems 1-10, answer true or false. 16-34=18Ch. 5.6 - For Problems 1-10, answer true or false. 1632=22Ch. 5.6 - For Problems 1-10, answer true or false. 6423=16Ch. 5.6 - For problems 1-30, evaluate each numerical...Ch. 5.6 - For problems 1-30, evaluate each numerical...Ch. 5.6 - For problems 1-30, evaluate each numerical...Ch. 5.6 - For problems 1-30, evaluate each numerical...Ch. 5.6 - For problems 1-30, evaluate each numerical...Ch. 5.6 - For problems 1-30, evaluate each numerical...Ch. 5.6 - For problems 1-30, evaluate each numerical...Ch. 5.6 - For problems 1-30, evaluate each numerical...Ch. 5.6 - For problems 1-30, evaluate each numerical...Ch. 5.6 - For problems 1-30, evaluate each numerical...Ch. 5.6 - For problems 1-30, evaluate each numerical...Ch. 5.6 - For problems 1-30, evaluate each numerical...Ch. 5.6 - For problems 1-30, evaluate each numerical...Ch. 5.6 - 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A...Ch. 5.7 - For Problems 1-10, answer true or false. A number...Ch. 5.7 - For Problems 1-10, answer true or false....Ch. 5.7 - For Problems 1-10, answer true or false....Ch. 5.7 - For Problems 1-10, answer true or false....Ch. 5.7 - For Problems 1-10, answer true or false....Ch. 5.7 - For Problems 1-10, answer true or false....Ch. 5.7 - For Problems 1-10, answer true or false....Ch. 5.7 - For Problems 1-10, answer true or false....Ch. 5.7 - For Problems 1-10, answer true or false. 6, 200,...Ch. 5.7 - For Problems 1-18, write each of the following in...Ch. 5.7 - For Problems 1-18, write each of the following in...Ch. 5.7 - For Problems 1-18, write each of the following in...Ch. 5.7 - For Problems 1-18, write each of the following in...Ch. 5.7 - For Problems 1-18, write each of the following in...Ch. 5.7 - For Problems 1-18, write each of the following in...Ch. 5.7 - For Problems 1-18, write each of the following in...Ch. 5.7 - For Problems 1-18, write each of the following in...Ch. 5.7 - For Problems 1-18, write each of the following in...Ch. 5.7 - 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For Problems 33-50, convert each number to...Ch. 5.7 - For Problems 33-50, convert each number to...Ch. 5.7 - For Problems 33-50, convert each number to...Ch. 5.7 - For Problems 33-50, convert each number to...Ch. 5.7 - For Problems 33-50, convert each number to...Ch. 5.7 - For Problems 33-50, convert each number to...Ch. 5.7 - Avogadros number, 602, 000, 000, 000, 000, 000,...Ch. 5.7 - The Social Security program paid out approximately...Ch. 5.7 - Carlos first computer had a processing speed of...Ch. 5.7 - Alaska has an area of approximately 6.15105 square...Ch. 5.7 - In the year 2013 the public debt of the United...Ch. 5.7 - The space shuttle can travel at approximately 410,...Ch. 5.7 - A square pixel on a computer screen has a side of...Ch. 5.7 - The field of view of a microscope is 410-4 meter....Ch. 5.7 - The mass of an electron is 9.1110-31 kilogram, and...Ch. 5.7 - Atomic masses are measured in atomic mass unit...Ch. 5.7 - Explain the importance of scientific notation.Ch. 5.7 - Why do we need scientific notation even when using...Ch. 5.7 - Sometimes it is more convenient to express a...Ch. 5.7 - Use your calculator to estimate each of the...Ch. 5.7 - Use your calculator to estimate each of the...Ch. 5.7 - Use your calculator to estimate each of the...Ch. 5.S - Simplify 13-3Ch. 5.S - Simplify 4xy-1-2 and express the final result...Ch. 5.S - Simplify 2x3y-1-3x-2y-1 and express the final...Ch. 5.S - Simplify 3x-1-4y-2 and express the result as a...Ch. 5.S - Simplify 20x8y5.Ch. 5.S - Simplify 3127.Ch. 5.S - Simplify 418+50-8.Ch. 5.S - Multiply 2xy234x4y3.Ch. 5.S - Multiply 3x12x-6xy and simplify where possible.Ch. 5.S - Simplify 56-3 by rationalizing the denominator.Ch. 5.S - Solve 2x-1=x-2.Ch. 5.S - Use the formula 30Df=S to determine the...Ch. 5.S - Simplify 853.Ch. 5.S - Write y23 in radical form.Ch. 5.S - Write xy35 using positive rational exponents.Ch. 5.S - Simplify 2x12-5x-14 and express the result with...Ch. 5.S - Multiply x3x3 and express in simplest radical...Ch. 5.S - Write each of the following in scientific...Ch. 5.S - Write each of the following in ordinary decimal...Ch. 5.S - Use scientific notation and the properties of...Ch. 5.CR - For Problems 1-6, evaluate the numerical...Ch. 5.CR - For Problems 1-6, evaluate the numerical...Ch. 5.CR - For Problems 1-6, evaluate the numerical...Ch. 5.CR - For Problems 1-6, evaluate the numerical...Ch. 5.CR - For Problems 1-6, evaluate the numerical...Ch. 5.CR - For Problems 1-6, evaluate the numerical...Ch. 5.CR - For Problems 7-18, simplify and express the final...Ch. 5.CR - For Problems 7-18, simplify and express the final...Ch. 5.CR - For Problems 7-18, simplify and express the final...Ch. 5.CR - For Problems 7-18, simplify and express the final...Ch. 5.CR - For Problems 7-18, simplify and express the final...Ch. 5.CR - For Problems 7-18, simplify and express the final...Ch. 5.CR - For Problems 7-18, simplify and express the final...Ch. 5.CR - For Problems 7-18, simplify and express the final...Ch. 5.CR - 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For Problems 23-34, express the radical in...Ch. 5.CR - For Problems 23-34, express the radical in...Ch. 5.CR - For Problems 23-34, express the radical in...Ch. 5.CR - For Problems 35-38, use the distributive property...Ch. 5.CR - For Problems 35-38, use the distributive property...Ch. 5.CR - For Problems 35-38, use the distributive property...Ch. 5.CR - For Problems 35-38, use the distributive property...Ch. 5.CR - For Problems 39-48, multiply and simplify. Assume...Ch. 5.CR - For Problems 39-48, multiply and simplify. Assume...Ch. 5.CR - For Problems 39-48, multiply and simplify. Assume...Ch. 5.CR - For Problems 39-48, multiply and simplify. Assume...Ch. 5.CR - For Problems 39-48, multiply and simplify. Assume...Ch. 5.CR - For Problems 39-48, multiply and simplify. Assume...Ch. 5.CR - For Problems 39-48, multiply and simplify. Assume...Ch. 5.CR - For Problems 39-48, multiply and simplify. Assume...Ch. 5.CR - For Problems 39-48, multiply and simplify. Assume...Ch. 5.CR - For Problems 39-48, multiply and simplify. Assume...Ch. 5.CR - For Problems 49-52, rationalize the denominator...Ch. 5.CR - For Problems 49-52, rationalize the denominator...Ch. 5.CR - For Problems 49-52, rationalize the denominator...Ch. 5.CR - For Problems 49-52, rationalize the denominator...Ch. 5.CR - For Problems 53-60, solve the equation 7x-3=4.Ch. 5.CR - For Problems 53-60, solve the equation 2y+1=5y-11.Ch. 5.CR - For Problems 53-60, solve the equation 2x=x-4.Ch. 5.CR - For Problems 53-60, solve the equation n2-4n-4=n.Ch. 5.CR - For Problems 53-60, solve the equation 2x-13=3.Ch. 5.CR - For Problems 53-60, solve the equation t2+9t-1=3.Ch. 5.CR - For Problems 53-60, solve the equation x2+3x-6=x.Ch. 5.CR - For Problems 53-60, solve the equation x+1-2x=-1.Ch. 5.CR - The formula S=30Df is used to approximate the...Ch. 5.CR - The formula T=2L32 is used for pendulum motion,...Ch. 5.CR - For Problems 63-70, simplify. 452Ch. 5.CR - For Problems 63-70, simplify. -123Ch. 5.CR - For Problems 63-70, simplify. 82723Ch. 5.CR - For Problems 63-70, simplify. -1632Ch. 5.CR - For Problems 63-70, simplify. 27-23Ch. 5.CR - For Problems 63-70, simplify. 32-25Ch. 5.CR - For Problems 63-70, simplify. 932Ch. 5.CR - For Problems 63-70, simplify. 1634Ch. 5.CR - For Problems 71-74, write the expression in...Ch. 5.CR - For Problems 71-74, write the expression in...Ch. 5.CR - For Problems 71-74, write the expression in...Ch. 5.CR - For Problems 71-74, write the expression in...Ch. 5.CR - For Problems 75-78, write the expression using...Ch. 5.CR - For Problems 75-78, write the expression using...Ch. 5.CR - For Problems 75-78, write the expression using...Ch. 5.CR - For Problems 75-78, write the expression using...Ch. 5.CR - For Problems 79-84, simplify and express the final...Ch. 5.CR - For Problems 79-84, simplify and express the final...Ch. 5.CR - For Problems 79-84, simplify and express the final...Ch. 5.CR - For Problems 79-84, simplify and express the final...Ch. 5.CR - For Problems 79-84, simplify and express the final...Ch. 5.CR - For Problems 79-84, simplify and express the final...Ch. 5.CR - For Problems 85-88, perform the indicated...Ch. 5.CR - For Problems 85-88, perform the indicated...Ch. 5.CR - For Problems 85-88, perform the indicated...Ch. 5.CR - For Problems 85-88, perform the indicated...Ch. 5.CR - For Problems 89-92, write the number in scientific...Ch. 5.CR - For Problems 89-92, write the number in scientific...Ch. 5.CR - For Problems 89-92, write the number in scientific...Ch. 5.CR - For Problems 89-92, write the number in scientific...Ch. 5.CR - For Problems 93-96, write the number in ordinary...Ch. 5.CR - For Problems 93-96, write the number in ordinary...Ch. 5.CR - For Problems 93-96, write the number in ordinary...Ch. 5.CR - For Problems 93-96, write the number in ordinary...Ch. 5.CR - For Problems 97-104, use scientific notation and...Ch. 5.CR - For Problems 97-104, use scientific notation and...Ch. 5.CR - For Problems 97-104, use scientific notation and...Ch. 5.CR - For Problems 97-104, use scientific notation and...Ch. 5.CR - For Problem 97-104, use scientific notation and...Ch. 5.CR - For Problems 97-104, use scientific notation and...Ch. 5.CR - For Problems 97-104, use scientific notation and...Ch. 5.CR - For Problems 97-104, use scientific notation and...Ch. 5.CT - For problems 1-4, simplify each of the numerical...Ch. 5.CT - For problems 1-4, simplify each of the numerical...Ch. 5.CT - For Problems 1 4, simplify each of the numerical...Ch. 5.CT - For Problems 1 4, simplify each of the numerical...Ch. 5.CT - For Problems 5-9, express each radical expression...Ch. 5.CT - For Problems 5-9, express each radical expression...Ch. 5.CT - For Problems 5-9, express each radical expression...Ch. 5.CT - For Problems 5-9, express each radical expression...Ch. 5.CT - For Problems 5-9, express each radical expression...Ch. 5.CT - Multiply and simplify: 46312Ch. 5.CT - Multiply and simplify: 32+32-23Ch. 5.CT - Simplify by combining similar radicals:...Ch. 5.CT - Rationalize the denominator and simplify: 3243-8Ch. 5.CT - Simplify and express the answer using positive...Ch. 5.CT - Simplify and express the answer using positive...Ch. 5.CT - Express x-1+y-3 as a single fraction involving...Ch. 5.CT - Multiply and express the answer using positive...Ch. 5.CT - Multiply and simplify: 35-2335+23Ch. 5.CT - For Problems 19 and 20, use scientific notation...Ch. 5.CT - For Problems 19 and 20, use scientific notation...Ch. 5.CT - For Problems 21-25, solve each equation. 3x+1=3.Ch. 5.CT - For Problems 21-25, solve each equation. 3x+23=2.Ch. 5.CT - For Problems 21-25, solve each equation. x=x-2.Ch. 5.CT - For Problems 21-25, solve each equation....Ch. 5.CT - For Problems 21-25, solve each equation....

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For every integer n1 , (0n)(1n)+(2n)...+(1)n(nn)=0. (Hint: Use the fact that 1+(1)=0.)

Discrete Mathematics With Applications