Simplifying Radicals

Square Roots

100

Write the expression in simplest form.

√16

4

200

Write the expression in simplest form.

√81

9

300

Write the expression in simplest form.

√121

11

400

Write the expression in simplest form.

√225

15

500

Write the expression in simplest form.

√10000

100

Simplifying Square Roots Using Perfect Square Factors

100

Write the expression in simplest radical form.

√8

2√2

200

Write the expression in simplest radical form.

√20

2√5

300

Write the expression in simplest radical form.

3√8

6√2

400

Write the expression in simplest radical form.

-5√20

-10√5

500

Classify the polynomial by its degree and the number of terms:

-5√200

-50√2

Adding & Subtracting Radicals

100

Add the following radicals:

8√3 + 5√3

13√3

200

Simplify the following radicals:

10√2 - 3√2 + 5√2

12√2

300

Combine the following radicals.

6√5 + 4√7 + 3√5

9√5 + 4√7

400

Add the following radicals.

3√2 + √8

5√2

500

Subtract the following radicals.

12√3 - √12

10√3

Multiplying Radicals

100

Multiply the radicals.

(√2)(√2)

2

200

Multiply the radicals.

(√2)(√3)(√6)

6

300

Multiply the radicals

(√8)(√2)

4

400

Multiply the radicals.

(2√5)(√5)

10

500

Multiply the radicals

(2√8)(√2)

8