Exploring Real Numbers 2 - EDG

• irrational number, non-repeating decimal

• irrational number, terminating decimal

• rational number, terminating decimal

• rational number, non-repeating decimal

Which number is rational?

Sam said the square root of a rational number must be a rational number. Jenna disagreed. She said that it is possible that the square root of a rational number can be irrational. Who is correct and why?

• Jenna is correct because all square roots are irrational numbers.

• Jenna is correct because not all square roots are rational. An example is

• Sam is correct because the properties of square roots state that the square root of a rational number is a rational number.121

• 1

• 2

• 3

• 4

• 27/50

• 54/100

• 6/11

• 54/99

• 24/46

• 8/15

• 42/90

• 5/9

• 9.78083151..., irrational

• 9.78083151..., rational

• 13.38083151..., irrational

• 13.38083151..., rational

Which expressions represent rational numbers? Check all that apply.

• 5

• 25

• 125

• -5