Answer
$5\sqrt2$
Work Step by Step
RECALL:
For positive real numbers $a$ and $b$,
$\sqrt{a} \cdot \sqrt{b} = \sqrt{ab}$
Use the rule above to obtain:
$=\sqrt{10(5)}
\\=\sqrt{50}$
Factor the radicand so that one of the factors is a perfect square to obtain:
$=\sqrt{25(2)}
\\=\sqrt{5^2(2)}$
Bring out the square root of the perfect square factor to obtain:
$=5\sqrt{2}$
