Question

simplify.
$10\sqrt{125}$

Explanation:

Step1: Factor out perfect square

$\sqrt{125} = \sqrt{25 \times 5}$

Step2: Simplify the square root

$\sqrt{25 \times 5} = \sqrt{25} \times \sqrt{5} = 5\sqrt{5}$

Step3: Multiply by the coefficient

$10 \times 5\sqrt{5}$

Step4: Calculate the product

$10 \times 5 = 50$

Answer:

$50\sqrt{5}$