# The smallest number by which

Question:

The smallest number by which $\sqrt{27}$ should be multiplied so as to get a rational number is

(a) $\sqrt{27}$

(b) $3 \sqrt{3}$

(c) $\sqrt{3}$

(d) 3

Solution:

$\sqrt{27}=\sqrt{3 \times 3 \times 3}$

$=3 \sqrt{3}$

Out of the given choices $\sqrt{3}$ is the only smallest number by which if we multiply $\sqrt{27}$ we get a rational number.

Hence, the correct choice is (c).