Radical and Exponential Expressions

Perform the operation.  Express your answer in simplest form.

• 54√14 - 12√33

• 18√14 - 6√33

• -3√6

• 3√14 - 2√33

Perform the operation.  Express your answer in simplest form.

• 16√5 - 9√2

• 98

• 62

• 98-24√10

To multiply radicals, they must have the same root.

• True

• False

The like radicals have the same

• index

• base

• root and base

• none of these

Simplify

• √5

• -3√6

• √6

• 6

Divide and simplify.

• 4x√x

• 3x²/x³√36

• 2x

• 4x²

√6 ⋅√6

• √36

• 2√3

• 12

• 6

Evaluate: √60a²b³

• 4a²b²√5b

• 2ab√15b

• 2ab²√15

• 4ab√15b

Multiply the above radicals. Write your answer in simplest form.

• 1250

• 
• 
• 

Completely Simplify:

• 1/5

• 20/100

• 2/10

• 1/√25