# How do you simplify sqrtxsqrt(x+2)?

$\sqrt{x} \sqrt{x + 2} = \sqrt{x \left(x + 2\right)}$
$\sqrt{a} \sqrt{b} = \sqrt{a b}$ when $a$ and $b$ are non-negative, which means you can join them under the same square root to $\sqrt{x} \sqrt{x + 2} = \sqrt{x \left(x + 2\right)}$, which is the simplest form.
Apart from expanding it to $\sqrt{{x}^{2} + 2 x}$, there's not much more to do with this expression.