Huether's Algebra 1 S2 Final

Simplifying Radicals

100

4^3/4 Rewrite in radical form.

⁴√4³

200

7^1/2 Rewrite in radical form

√7

300

⁴√x² Rewrite in exponential form

x^1/2

400

⁴√2⁵ Rewrite in exponential form.

2^5/4

500

⁵√x³ rewrite in exponential form

x^3/5

Multiplying Radicals

100

√2 x √6

2√3

200

³√2 x ³√4

2

300

3√5 x 2√7

6√35

400

-2√45 x 5√20

-300

500

2³√3 x 4³√9

24

Dividing Radicals

100

√9/√25

3/5

200

√4/√36

1/3

300

√40/√8

√5

400

√5/√7

√35/7

500

7/√x

7√x/x

Adding/Subtracting Radicals

100

-3√6 + 3√6

0

200

3√8 + 3√2

9√2

300

-3√20 - √5

-7√5

400

2√45 - 2√5

4√5

500

-3√18 + 3√8 - √24

-3√2 - 2√6

Non-Perfect Squares/Cubes

100

√96

4√6

200

√216

6√6

300

5√45

15√5

400

9√125

45√5

500

3√405

27√5