Question

simplify.
$9\sqrt{50}$

Explanation:

Step1: Factor 50 into square factor

$50 = 25 \times 2$

Step2: Split the square root

$9\sqrt{50} = 9\sqrt{25 \times 2} = 9 \times \sqrt{25} \times \sqrt{2}$

Step3: Simplify $\sqrt{25}$

$\sqrt{25} = 5$, so $9 \times 5 \times \sqrt{2}$

Step4: Multiply constants

$9 \times 5 = 45$

Answer:

$45\sqrt{2}$