Question

The irrational number among the following is

• A. $3.153738283$
• B. $3$
• C. $3.\overline{666}$
• D. $\mathrm{3.1524384737....}$

Answer 1

The correct option is D $\mathrm{3.1524384737....}$

$3.153738283$ is terminating number and hence rational.

$3$ is an integer and hence rational.

$3.\overline{666}$ is non terminating but repeating number and hence rational.

$\mathrm{3.1524384737....}$ is non terminating and non repeating number and hence it is irrational.