Polynomial Operations

Operations with Radicals

Adding, Subtracting, and Multiplying

If you do not have like terms, see if you can simplify the radicals and get like terms.

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​You have to have like terms!

Multiple Choice

• 11√5

• 11√10

• 5√5

• 12√10

Multiple Choice

Simplify

• √25

• 5

• 2√5

• √10

Multiple Choice

• 0

• 3∛1

• 3∛7

• 3

Multiple Choice

• √18 + 11√2

• 22√5

• 11√20

• 14√2

Multiple Choice

• 7√3

• Can't Simplify

• 6√15

• 6√3

Multiple Choice

√18 - √12

• √6

• 2√3

• √2

• √5

First multiply the coefficients.

Then multiply the radicands.

If you can, simplify

Multiply
then simplify

Multiple Choice

Multiple Choice

Simplify:
√10 ⋅ √45

• 3√50

• 8√2

• √450

• 15√2

Multiple Choice

√3 × √15 =

• 3√5

• 5√3

• 2√7

• √17

Multiple Choice

Find the area of the rectangle shown.

• 18√20

• 12√10 + 6√2

• 9√12

• 36√5