Simplify Square Roots with Variables Rationalize Denominator

Simplify by first converting to rational exponents. Assume that all variables represent positive real numbers.

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CCSS.HSN.RN.A.2

Rationalize the denominator. Assume that all variables represent positive real numbers and that the denominator is not zero.

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CCSS.HSN.RN.A.2

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• B

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• D

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CCSS.HSN.RN.A.2

• A
• B
• C
• D

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CCSS.HSN.RN.A.2

• a

• b

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CCSS.HSN.RN.A.2

• 
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√45

• 3√5

• 5√3

• 9√5

• 5√9

Rationalize the denominator. 

• A

• B

• C

• D

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CCSS.HSN.RN.A.2

• y²z¹⁰√xy
• 20yz√xy
• xy²z¹⁰√y
• yz⁶√xy²z²

Q1. What is the value of the expression?

• A) x⁴y⁴√y

• B) 72xy

• C) xy√y

• D) x²y³√x²