Simplifying Root Expressions

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

• A

• B

• C

• D

Examine the radical expression. What is the radicand?

• 3

• 108

• 36

Simplify completely.

• 3v√2v

• 3v√2v³

• v√18v

• 9v√v

√343v⁸

• 7v³√7

• 7v⁴√7

• 7v⁵√7

• 7v²√7

√75x²

• 5x²√3

• 5x

• 5x√3x

• 5x√3

√45x⁴y⁷

• 3x²y³√5

• 9x²y³√5y

• 3x²y³√5y

• 3x⁴y⁷

√28m⁴n³

• m²n√7n

• 7m²n√n

• 2m²n√7n

• 7m²n²√n

When simplifying a perfect variable root: divide the (a)   by the ​ (b)   ​

• power

• index

• radical

• radicand

• root

Examine the radical expression. What is the index?

• 5

• 108

• 36