Rational and Irrational Numbers

Simplifying Radicals

100

square root of 12

2 square root 3

200

square root of 48

4 square root 3

300

2 square root of 63

6 square root 7

400

square root of 36/9

2

500

cube root of 64

8

Estimating Radicals

100

estimate to a mixed number: square root of 8

2 and 4/5

200

estimate to a mixed number: square root of 13

3 and 4/7

300

estimate to a mixed number: square root of 24

4 and 8/9

400

estimate to the nearest tenth: square root of 22

4.7

500

estimate to the nearest tenth: square root of 5

2.2

Writing Repeaters

100

.4 repeating

4/9

200

.21 repeating

7/33

300

0.05 repeating

1/18

400

0.037 repeating

37/990

500

0.28 repeating

13/45

Pythagorean Theorem

100

Could these lengths be of a right triangle: 12, 16, 20

yes (144 + 256 = 400)

200

Find the missing length:

a = 6, b = 8, c = ?

10

300

Find the missing length:

a = 9, b = 12, c = ?

15

400

Find the missing length:

a = 12, b = ?, c = 15

9

500

Find the missing length:

a = 8, b = ?, c = 10

6