Understanding irrational numbers

A number can be rational and irrational.

• True
• False

59.49663957563568575967463558596

• rational

• irrational

Which of the following numbers is irrational?

• √8
• ¾
• 2
• -1.325

An irrational number exists as a ______________ decimal.

• terminating or repeating

• continuous

Haadiyah is helping her friend, Abyda, with her math homework. Abyda is confused about the concept of square root. How should Haadiyah explain it to her?

• Haadiyah should tell her: 'The square root of a number is a value that, when multiplied by itself, gives the original number.'

• Haadiyah should tell her: 'The square root of a number is a value that, when multiplied by itself three times, gives the original number.'

• Haadiyah should tell her: 'The square root of a number is a value that, when multiplied by itself two times, gives the original number.'

• Haadiyah should tell her: 'The square root of a number is a value that, when added to itself, gives the original number.'

• Rational

• irrational

Rational or Irrational:

 $\sqrt{64}$  

• Rational

• Irrational

Determine which of the following examples is irrational.

• A fraction whose denominator is larger than its numerator

• A decimal that never ends but repeats

• A perfect cube root

• A decimal that never ends and never repeats

• Rational

• Irrational

Which of the following is an irrational number?

• -2/3

• .75575557654..

• 23

• 0