Question

Which of the following is (are) not rational number(s)?

• A. $0.2\overline{3}$
• B. $\sqrt{7}$
• C. $\sqrt{3}$
• D. $0.\overline{567}$

Answer 1

Answer: (B), (C)

The correct options are
B $\sqrt{7}$
C $\sqrt{3}$

We will look at the numbers after the decimals.
$0.2\overline{3}\to$ non-terminating but repeating, so a rational number.
$\sqrt{7}\to$ is square root of a prime, so an irrational number.
Similarly, $\sqrt{3}$ is irrational.
$0.\overline{567}\to$ non-terminating but repeating, so a rational number.