Real Number System

Perfect Squares

100

√169

13

200

√225

15

300

√16

4

400

√144

12

500

√81

9

Simplifying square roots

100

√8

2√2

200

√50

5√2

300

√20

2√5

400

√28

2√7

500

√27

3√3

Perfect Cubes

100

³√64

4

200

³√27

3

300

³√512

8

400

³√729

9

500

³√216

6

Rational or Irrational

100

Is it Rational or Irrational? Explain. √121

11. rational. because it is a perfect square

200

Is it Rational or Irrational? Explain. ¹³/₉₉

Rational. Because it is a fraction/ repeating decimal.

300

Is it Rational or Irrational? Explain. 9π

Irrational. Because it has pi and pi is irrational

400

Is it Rational or Irrational? Explain. √70

Irrational. Not a perfect square

500

Is it Rational or Irrational? Explain. 0.7272727272...

Rational. It is a repeating decimal. It can be written as a fraction.