Simplifying Radicals and Identifying Numbers in the Real Number System

Classify That Number

100

Is 7 natural, whole, an integer, rational, or irrational

Natural, whole, an integer, and rational

200

Classify -12

Integer, rational

300

Classify 0

Whole, integer, rational

400

Classify 3.14159... (no pattern)

Irrational

500

Identify ALL sets the square root of 49 belongs to

Natural, whole, integer, rational

Perfect Square or Not

100

64

Perfect Square (8² or 8*8)

200

45

Not a perfect square

300

121

Perfect Square (11² or 11*11)

400

98

Not, but is divisible by 49 (which is a perfect square)

500

196

Perfect Square (14² or 14*14)

Simplifying Radicals

100

Simplify the square root of 25

5

200

Simplify the square root of 20

2 square root 5

300

Simplify the square root of 72

6 square root 2

400

Simplify the square root of 108

6 square root 3

500

Simplify completely: square root of 180

6 square root 5

Rational or Irrational

100

Square root of 81

Rational

200

Square root of 3

Irrational

300

Square root of 50

Irrational (5 square root 2)

400

0.25

Rational

500

0.121221222...

Irrational (not repeating pattern)

Mystery Math Challenge

100

Simplify: 3*(square root 4)

3(2) = 6

200

Which is larger: square root of 15 or square root of 16

Square Root of 16

300

True or False: -(square root 49) is rational

True (-7 is rational)

400

Simplify: (square root 12)*(square root 3)

square root of 36 = 6

500

Write down a number that is rational AND not an integer

EX: 1/2, .75, 3/8, etc.