Answer
$5\sqrt{10}$
Work Step by Step
We are asked to simplify:
$\sqrt{5}*\sqrt{50}$
Recall the property (pg. 367):
$\sqrt[n]{a}*\sqrt[n]{b}=\sqrt[n]{ab}$ (if $\sqrt[n]{a}$ and $\sqrt[n]{b}$ are real numbers)
Applying this property, we get:
$\sqrt{5}*\sqrt{50}$
$=\sqrt{5*50}$
$=\sqrt{250}$
$=\sqrt{25*10}$
Using the property again, we have:
$=\sqrt{25}\sqrt{10}$
$=5\sqrt{10}$
