Understanding Square Roots and Irrational Numbers

What type of number is the square root of 31?

• Rational

• Irrational

• Integer

• Whole number

Which statement best describes an irrational number?

• Its decimal representation terminates.

• Its decimal representation repeats in a pattern.

• Its decimal representation goes on forever without repeating.

• It can always be written as a simple fraction.

Between which two consecutive whole numbers does the square root of 31 lie?

• 4 and 5

• 5 and 6

• 6 and 7

• 7 and 8

What is a reasonable estimate for the square root of 31, rounded to one decimal place?

• 5.0

• 5.2

• 5.5

• 5.8