Question

Which one of the following is not a rational number?

• A. $\sqrt{2}$
• B. $0$
• C. $\sqrt{4}$
• D. $\sqrt{16}$

Answer 1

The correct option is A

$\sqrt{2}$

The explanation for the correct option:

Non-terminating and non-repeating decimal numbers are irrational numbers.

$\because \sqrt{2}=1.414213562...$

The value of $\sqrt{2}$ is non-terminating and non-repeating.

Thus, $\sqrt{2}$ is not a rational number.

Hence, option (A) is correct answer.

The explanation for the incorrect option:

Option(B): $\mathbf{0}$:

$0$ is rational number.

Option(C): $\sqrt{\mathbf{4}}$:

$\sqrt{4}=2$, is a rational number.

Option (D) :$\sqrt{\mathbf{16}}$:

$\sqrt{16}=4$,is a rational number.

All the integers are rational numbers.

Hence, option (A) is correct answer.