Question

$6sqrt{500}$
$sqrt{\frac{72}{25}}$

Explanation:

Step1: Simplify $\sqrt{500}$

$\sqrt{500} = \sqrt{100 \times 5} = \sqrt{100} \times \sqrt{5} = 10\sqrt{5}$

Step2: Multiply by 6

$6 \times 10\sqrt{5} = 60\sqrt{5}$

Step3: Simplify $\sqrt{\frac{72}{25}}$

$\sqrt{\frac{72}{25}} = \frac{\sqrt{72}}{\sqrt{25}} = \frac{\sqrt{36 \times 2}}{5} = \frac{6\sqrt{2}}{5}$

Answer:

$60\sqrt{5}$
$\frac{6\sqrt{2}}{5}$