Rational vs. Irrational
Perfect Squares
Multiplication Rule
Division Rule
Power to Power
100

Rational or Irrational? Why?


34

Rational

Whole number

100

What is the square root of 4?

2

100

X2 * x4

x6

100

x9 / x2

x7

100

(x3)4

x12

200

Rational or Irrational? Why?

the square root of 5

Irrational

Decimal doesn't repeat and doesn't end

200

Square root of 100?

10
200

2b4 * 5b3

10b7

200

60x10 / 6x4

10x6

200

(2x3)5

32x15

300

Rational or Irrational? Why?

5.3827493258...

Irrational


Decimal doesn't stop or repeat

300

Square root of 49?

7

300

-4x * 3x

-12x2

300

b8 / b13

1 / b5

300

-3(x6)7

-3x42

400

Rational or Irrational? Why?

4.7979797979797...

Rational

Decimal repeats

400

Square root of 121?

11

400

-xy* -3x3y6

3x4y8

400

4x / 8x3

1 / 2x2

400

-4x * (x2)5

-4x11

500

Rational or Irrational? Why?


pi

Irrational


Decimal doesn't repeat or end

500

What is 6 squared?

36

500
(-9abc)(8a3b4c8)

-72a4b5c9

500

-50x12 / -10x15

5 / x3

500

(-2x7)3

-8x21