Rationalize the denominator and simplify. Assume that all variables represent positive real numbers. Square root 9/x

Q: Multiply. Assume that all variables represent positive real numbers. (3Vx +8) (9Vx-5) (3/x + 8) (9/x…

A:

Q: Va +3 Rationalize the denominator of Assume that all variables represent positive real numbers. 2va…

A: To rationalize the number multiply numerator and denominator by the same.

Q: Write with positive exponents. Simplify if possible. Assume that all variables represent positive…

A: 1a-1=a

Q: Evaluate or indicate that the root is not a real number : 4√-16 ?

A: We first simplify √-16 Since -16 is a negative number, so √-16 is not real.  Because the square root…

Q: rationalize the denominator and simplify. All variables represent positive real numbers. √6/(3 √2 +…

A: The given fractional expression is, 632+23 Rationalization is the process to reduce the denominator…

Q: Write the value or values of the variable that make a denominator zero. (3/2x - 2 )+(1/2) =(2/x - 1)

A:

Q: Rationalize the denominator of the expression. Assume that all variables are positive when they…

A: To rationalize the denominator of the expression 23.

Q: Write the value or values of the variable that make a denominator zero. (8x/x + 1) = 4 -(8/x + 1)

A:

Q: Evaluate or indicate that the root is not a real number : 3√8 ?

A: In order to evaluate the given expression, find the cube root of 8. It is known that 23=8, which…

Q: Rationalize the denominator of the expression. Assume that all variables are positive when they…

A: To rationalize 12

Q: Evaluate expression,or indicate that the root is not a real number.

A: we have the expression and we have to find the square root or else we have to tell that the root is…

Q: Find the value of each variable. If your answer is not an integer, write it in simplest radical form…

A: topic - trigonometric ratios

Q: Simplify (assume that variables represent non negative real numbers). √2x .√6x

A: Given radical expression is 2x·6x.

Q: rationalize the denominator and simplify. All variables represent positive real numbers. √2/(√10 -…

A:

Q: rationalize the denominator and simplify. All variables represent positive real numbers. 3 √6/(5 √3…

A: Given :             3653 - 42   To rationalize the denominator and simplify.

Q: Multiply. Assume that all variables represent positive real numbers. (Va +9) (a +3)

A: Explanation of the answer is as follows

Q: Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.

A:

Q: Rationalize the denominator of the expression. Assume that all variables are positive when they…

A: 52-1

Q: Use the properties of exponents to simplify the expression. Write with positive exponents. Assume…

A: Given: x-23·x53 Simplify the given expression.

Q: Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.…

A: To Determine: Rationalize the denominator and simplify. Assume that all variables represent positive…

Q: Evaluate expression,or indicate that the root is not a real number.

A: Given:-1325

Q: Determine the values of the variable for which the expression is defined as a real number. (Enter…

A: The given function:

Q: rationalize the denominator and simplify. All variables represent positive real numbers. (√x +…

A: Given: x+1x-10 Rationalize the denominator. x+1x-10=x+1x-10×x+10x+10

Q: Write the value or values of the variable that make a denominator zero. [(1/x - 3) - (2/x + 1)]…

A: We have to find the values of variable where denominator get zero for the expression:…

Q: rationalize the denominator and simplify. All variables represent positive real numbers. 3/(√2 - 5)

A: We have to rationalize the denominator to simplify the expression: 32-5 To rationalize the…

Q: Use the properties of exponents to simplify the expression. Write with positive exponents. Assume…

A:

Q: Simplify the expression, and rationalize the denominator when appropriate.

A: We have to simplify the expression: a2b3c We know the  representing the square root and for square…

Q: multiply and simplify. Assume the variables represent nonnegative real numbers. (√x + 3) (√x - 5)

A: Given expression is, x+3x-5. Apply the rule: a+bc+d=ac+ad+bc+bd So, x+3x-5=xx+x-5+3x+3-5=xx-2x-15

Q: Evaluate expression,or indicate that the root is not a real number.

A: The given expression is given as, -344.   Solution, The given expression can be simplified as,…

Q: Add. Assume that all variables represent positive real numbers. 20 9 V 4x6 20 6 4x° (Type an exact…

A:

Q: Rationalize the denominator. Assume variables represent positive values: 2Vx Vx+ Vy

A: In order to rationalize the expression, multiply it by its conjugate.

Q: rationalize the denominator and simplify. All variables represent positive real numbers. 3 √y/(2 √x…

A: Rationalization is used to eliminate root radical in the denominator, for this both the numerator…

Q: Rationalize the denominator. Assume that all variables represent positive real numbers. 6. 4 ху

A: Given, 4xy56  We have to rationalize the denominator.

Q: Rewrite using only positive, rational exponents.

A:

Q: Write the value or values of the variable that make a denominator zero. [(2/x + 1) - (1/x - 1)]…

A: Given, 2x+1-1x-1=2xx2-1

Q: rationalize the denominator and simplify. All variables represent positive real numbers. 2/(√7 + 1)

A: Simplify: 27+1

Q: Simplify. Assume all variables represent positive real numbers. 486x7 6x

A:

Q: Simplify (assume that variables represent non negative real numbers) √x3 ?

A: Given: x3

Q: Perform the indicated operation and simplify the answer. Assume that the variable represents a…

A: The given expression is 80x3+125x3. The following radical rules are used in the simplification of…

Q: Evaluate or indicate that the root is not a real number : 5√ (-2)5

A: The given number is 5-25.

Q: Rationalize each denominator. (a) $\frac{4}{\sqrt{3}}$(b) $\sqrt[4]{\frac{3}{5}}$

A:

Q: V5+2

A:

Q: Simplify (assume that variables represent non negative real numbers) √10x . √8x

A:

Q: Evaluate or indicate that the root is not a real number : 4√(-5)4

A: we have to evaluate : -544

Q: Write the value or values of the variable that make a denominator zero. [(1/x - 4) - (5/x + 2)]…

A: Consider the given rational equation 1x-4-5x+2=6x2-2x-8   We have to write the value or values of…

Q: Write the value or values of the variable that make a denominator zero. (1/x - 1) + 5 =(11/x - 1)

A: Given: 1x-1+5=11x-1

Q: Evaluate  expression,or indicate that the root is not a real number.

A: amn=amn

Q: Express the radical in simplified form. Assume that all variables represent positive real numbers

A: Given term in radical form is

Q: Fill in the blank/s: 1/(csc x - 1) - 1/(csc x + 1) can be simplified using _________ as the least…

A:

Q: Use the properties of exponents to simplify the expression. Write with positive exponents. Assume…

A: x-32. x52

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.