Simplifying and Manipulating Radicals

What is the largest perfect square factor of 32?

• 4

• 32

• 16

• 8

How would you simplify the square root of 56?

• 4√14

• 4√28

• 2√28

• 2√14

What is the cube root of 135 simplified?

• 3√5

• 3√15

• 5√3

• 15√3

How do you simplify the expression √(28x²y³)?

• 2x²y√(7)

• 2x√(7y)

• 2xy√(7y)

• 2xy√(7)

What is the simplified form of the square root of 75a⁵b⁸c?

• 5a²b⁴√(3)

• 5a²b⁴√(3b)

• 5a²b⁴√(3a)

• 5a²b⁴√(3ac)

How do you multiply √12 and √5?

• √60

• 2√15

• √17

• 2√30

What is the simplified form of 8 divided by 4√6?

• √6/2

• √6/4

• √6/3

• √6/5

How do you rationalize the denominator of 4 divided by the cube root of 5?

• Multiply by 5^(2/3)

• Multiply by 5

• Multiply by 5²

• Multiply by √5

What is the conjugate of √7 - √15?

• √7 - √15

• √7 + √15

• √7 + 15

• 7 + √15

What is the simplified form of 10 divided by (√7 - √15) after rationalizing the denominator?

• 5(√7 + √15)/4

• 5(√7 + √15)/2

• 5(√7 - √15)/4

• 5(√7 - √15)/2