Simplifying Radicals

Simplify. 

• 5x⁸y¹⁰√10x
• 5x⁴y⁵√10x
• 5x⁴y⁵√2x
• 5√2x⁹y¹⁰

Simplify the following expression: 10 ⁄ √5

• 10√5 ⁄ 5
• 10√5 ⁄ √25
• 2√5
• 2√5 ⁄ 5

Simplify the expression: 
3√8  ∕  √3

• 2√6
• √24
• √8
• 3√24 / 3

• A
• B
• C
• D

• A
• B
• C
• D

Simplify the expression

• 3√5y

• √135y

• 9√4y

• They aren't like terms

Write an expression for the perimeter in simplest radical form

• 2√21 in.

• 12√2 in.

• 2√8 + 8√2 in.

• They aren't like terms

Which of the following shows a radical expression that has been correctly simplified?

Perform the operation.  Express your answer in simplest form.

• (2x³y√30)/(y⁴√3x)
• (2x³√30)/(y³√3x)
• (2x²√10x)/(y³)
• (2x²√5x)/(y³)

The number or expression inside of a radical is called the ____________

• argument

• index

• radicand

• root