Simplify and Multiply Radicals

Read the question carefully and choose the correct answer.

• A

• B

• C

• D

Simplify
3√2 - 3√18

•  -4√8

• 4√9-6√3

• 5√12

• -6√2

To multiply radicals, they must have the same index.

• True

• False

2√18a⁶b²

• 3a³b√2

• 6a³b²√2

• 6a³b√2

• 2a³b√2

The result of rationalize 3/√3 is

• √3

• 3

• 1

• none of these

Perform the operation.  Express your answer in simplest form.

• 252x¹⁰√3

• 252x⁴⁰√3x

• 4x²√7x  *  9x⁷  √21x

• 36x⁹√147x²

Simplify 2√5(3√3+6√2)

• 6√15+12√10

• 15√6+30√10

• 90

• 6√10+12√6

Perform the operation.  Express your answer in simplest form.

• (2k√2)/(3k⁴)

• (2√2)/(3k³)

• (2k²√2)/(3k⁶)

• (4k²√2)/(9k⁶)

Simplify completely.
7√5 + 3√5

• 21√5

• 10√10

• 10√15

• 10√5

Simplify completely.

• 2√3

• -8√3

• 2√6

• -8√6