Question

Which of the following numbers is irrational?Select all that apply.(A)8/9(B)pi(C)2.3(Recur)(D)1.5

Answer 1

B) π

Definition

A number is said to be Irrational if it cannot be expressed as a terminating or repeating decimal.

`\begin{gathered} (8)/(9)=0.8888888\cdots=0.\bar{8} \\ 2.\bar{3}=2.3333333\cdots \\ \pi=3.1415926535\cdots \end{gathered}`

From the given options

• Option A when converted to a decimal number is a repeating decimal.

,

• Option C is also a repeating decimal

,

• Option D (1.5) is a Terminating decimal.

Therefore, the only number which is Irrational is π since it neither terminates nor repeats (or recur).