Simplify Square Roots with Variables Rationalize Denominator

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

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

• A

• B

• C

• D

• A
• B
• C
• D

• a

• b

• c

• d

• 
• 
• 
• 

√45

• 3√5

• 5√3

• 9√5

• 5√9

Rationalize the denominator. 

• A

• B

• C

• D

• 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