Question

Find the value of $m$, if $\sqrt{m}$ is the least (smallest) rationalizing factor of following:

$\frac{1}{\sqrt{5}}$ .

Answer 1

In the given number $\frac{1}{\sqrt{5}}$ we have the least rationing number as $\sqrt{5}$, such that its product gives a rational number.

Thus the value of $m$ from the given question is $5$.