Question

simplify.
$9\sqrt{50}$

Explanation:

Step1: Factor 50 into 25×2

$9\sqrt{50} = 9\sqrt{25\times2}$

Step2: Use square root property $\sqrt{ab}=\sqrt{a}\times\sqrt{b}$

$9\sqrt{25\times2}=9\times\sqrt{25}\times\sqrt{2}$

Step3: Simplify $\sqrt{25}$

$9\times5\times\sqrt{2}=45\sqrt{2}$

Answer:

$45\sqrt{2}$