Question

The lowest rationalizing factor of $\sqrt{18}-\sqrt{50}$ is $2\sqrt{m}$, then $m$ is:

Answer 1

$\sqrt{18}-\sqrt{50}$
$=3\sqrt{2}-5\sqrt{2}$
$=-2\sqrt{2}$
Rationalizing factor is $2\sqrt{2}$
Thus $2\sqrt{m}=2\sqrt{2}$

$\Rightarrow m=2$