Simplifying Radicals
Adding Radicals
Subtracting Radicals
Multiplying Radicals
Rules
100

√100

10

100

√5+2√5

3√5

100

10√6 - 6√6

4√6

100

√ 2 * √5

√10

100

How many factors do you need in order to take them out of the radical?

2 (pairs)
200

√81

9

200

5√6 + 5√6

10√6

200

2√3 - 3√3

-√3

200

3√3 * 2√7

6√21

200

When adding or subtracting radicals, do the coefficients have to be the same?

No

300

√12

2√3

300

4√50 + 10√50

70√2

300

√45 - 2√5

√5

300

√7 * √7

7

300

When adding or subtracting radicals, do the radicals have to be the same?

Yes

400

2√48

8√3

400

√16 + √16

8

400

√12 - (-3√3)

5√3

400

2√16 * 4√3

32√3

400

True or False: When multiplying radicals, you can only multiply coefficients together and radicands together.

True

500

-5√32

-20√2

500

√45 -√3+ 2√5

5√5-√3

500

√27 - √48

-√3

500

5√2(3√6+ 2√3)

30√3+10√6

500

List the first 12 perfect squares WITHOUT A CALCULATOR. 

1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144.

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