Question

Which decimals are irrational numbers? Select two answers.

A. π π

B. 1 1/3

C. 8/526

D. 0 . 212212221 …

E. 5/9

Answer 1

Option A,C and D are irrational numbers.

Explanation:

To find : Which decimals are irrational numbers?

Solution :

Irrational number is defined as number which is not in the form of p/q where p and q are integers and q is non-zero.

Irrational number is non-repeating and non-terminating.

A)
`\pi`

The value is
`\pi=3.14159265359...`

It is an irrational number as it is non-terminating and non-repeating.

B)
`1(1)/(3)`

The value is
`1(1)/(3)=(4)/(3)=1.33333....`

It is not an irrational number as it is repeating.

C)
`(8)/(526)`

The value is
`(8)/(526)=0.0152091254753..`

It is an irrational number as it is non-terminating and non-repeating.

D)
`0.212212221.....`

It is an irrational number as it is non-terminating and non-repeating.

E)
`(5)/(9)`

The value is
`(5)/(9)=0.55555555555...`

It is not an irrational number as it is repeating.

Therefore, option A,C and D are irrational numbers.