how is x^2 the answer to this question??
$\displaystyle (\sqrt{x^3})(\sqrt{x})$
I like to look at it this way
$\displaystyle \sqrt{x^{3}} \cdot \sqrt{x}$
Then we get
$\displaystyle x \sqrt{x} \cdot \sqrt{x}$
Then we have: $\displaystyle x^{2}$
or you could do
$\displaystyle \sqrt{x^{3}} \cdot \sqrt{x}$
and get
$\displaystyle \sqrt{x^{4}}$
and simplify to get $\displaystyle x^{2}$