Which among the following options is irrational? , Which among the following options is irrational?

Solution

A. 3.1415926535… (non-repeating and non-terminating)

Explanation

Non-terminating and non-repeating decimals are irrational.

If the denominator of a rational number is in the form of  where n and m are non-negative integers, then the rational number is terminating.

0.2 = 2/ 10 = 2/ (2 x 5)

∴ 0.2 has terminating decimal and is a rational number.

3.1415926535… is non-terminating and non-repeating.

∴ 3.1415926535… is irrational.

1/0.2 = 10/2

∴ 1/ 0.2 has terminating decimal and is a rational number.