Answer
$5 \sqrt{2}$
Work Step by Step
Recall, $\sqrt{a}\times \sqrt{b}= \sqrt{a \times b}$. Thus, we can multiply 5 and 10 to obtain the simplified expression:
$\sqrt{5 \times 10}=\sqrt{50}$
In order to simplify a radical, we consider the factors of the number inside of the radical. If any of these factors are perfect squares, meaning that their square root is a whole number, then we can simplify the radical. We know that 25 and 2 are factors of 50. We know that 25 is a perfect square, so we simplify:
$ \sqrt{25} \sqrt{2}=5 \sqrt{2}$
