Simplifying Radicals
Making Radicals Entire
Multiplying Radicals
100

Simplify the following radical: √ 18.

3√ 2

100

Convert into an entire radical.

√72

6√2

100

Multiply the following radicals: √42 and  √2 

2√21

200

Simplify the following radical: √ 54.

3√ 6

200

Make the following mixed radical into an entire radical.

√44

2√11

200

Multiply the following radicals: √5 x √8. Simplify if necessary.

2√10

300

Simplify the following radical: 2√ 24.

4√ 6

300

Make the following mixed radical into an entire radical.

5 ∛2

∛250

300

Multiply the following radicals using F.O.I.L.: (2 - √13)2. Simplify if necessary.

17 - 4√13

400

Simplify the following radical: ∛128

4∛2

400

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400

To multiply radicands, which of the following must be true?

(a) Their radicals must have the same index

(b) The radicands must be the same

(c) The radicals must have the same coefficient

(d) Both a and b

(a) The radicals must have the same index

500

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500
Convert the following into an entire radical:


6 times the fifth root of 3.

fifth root of 23328

500

Simplify:

2 ∛4  x  (-6) ∛2

-24

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