Question

If the lowest rationalizing factor of $5\sqrt{2}$ is $\sqrt{m}$, then $m$ is:

• A. 2
• B. 3
• C. 5
• D. none of the above

Answer 1

The correct option is A 2

$5\sqrt{2}$
Rationalizing factor of $5\sqrt{2}$ is $\sqrt{2}$

Thus, $\sqrt{m}=\sqrt{2}$
$\Rightarrow m=2$