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Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
Publisher: Cengage Learning
ISBN: 9781285195728

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Chapter
Section
BuyFindarrow_forward

Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
Publisher: Cengage Learning
ISBN: 9781285195728
Chapter 5.3, Problem 16PS
Textbook Problem
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For Problems 1-20, use the distributive property to help simplify each of the following. (Objective 1)

3 8 - 32 = 3 4 2 - 16 2

= 3 2 2 - 4 2

                                              = 6 2 - 4 2

                                                = 6 - 4 2 = 2 2

- 2 20 3 + 3 45 4 - 5 80 6

To determine

To simplify:

The numerical expression -2203+3454-5806

Explanation of Solution

The given problem is -2203+3454-5806.

To simplify the given problem, the radicals must have the same index and same radicand.

Write the value of 20 as a product of two radicals.

Of the two radicals, one must be a perfect square.

20=4·5

Find the value of 4.

Expanding 4.

4=2×2

Since, 22=4

Also, 2 is positive.

4=2

Now, substitute the value of 4.

20=2·5

20=25

Write the value of 45 as a product of two radicals, provided that one must be a perfect square.

45=9·5

Find the value of 9.

Expanding 9.

9=3×3

Since, 32=9

Also, 3 is positive.

9=3

Now, substitute the value of 9.

45=3·5

45=35

Write the value of 80 as a product of two radicals, provided that one must be a perfect square.

80=16·5

Find the value of 16.

Expanding 16.

16=4×4

Since, 42=16

Also, 4 is positive.

16=4

Now, substitute the value of 16.

80=4·5

80=45

The problem can be written as follows.

-2203+3454-5806=-23·25+34·35-56·45

Simplifying,

-2203+3454-5806=-435+945-2065

Distributive property

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Chapter 5 Solutions

Intermediate Algebra
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To solve...Ch. 5.5 - For problems 1 10, answer true or false. Solving...Ch. 5.5 - For problems 1 10, answer true or false. The...Ch. 5.5 - For problems 1 10, answer true or false....Ch. 5.5 - For problems 1 10, answer true or false. The...Ch. 5.5 - For problems 1 10, answer true or false. The...Ch. 5.5 - For problems 1 10, answer true or false. The...Ch. 5.5 - For problems 1 10, answer true or false. The...Ch. 5.5 - For problems 1 10, answer true or false. The...Ch. 5.5 - For problems 1 10, answer true or false. The...Ch. 5.5 - For problem 1-56, solve each equation. Dont forget...Ch. 5.5 - For problem 1-56, solve each equation. Dont forget...Ch. 5.5 - For problem 1-56, solve each equation. Dont forget...Ch. 5.5 - For problem 1-56, solve each equation. Dont forget...Ch. 5.5 - For problem 1-56, solve each equation. Dont forget...Ch. 5.5 - For problem 1-56, solve each equation. Dont forget...Ch. 5.5 - For problem 1-56, solve each equation. 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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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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. 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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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