Question

1. $-9sqrt3{250} =$ 3. $5sqrt4{}$

Explanation:

Step1: Factor 250 into perfect cube

$250 = 125 \times 2 = 5^3 \times 2$

Step2: Simplify the cube root

$\sqrt[3]{250} = \sqrt[3]{5^3 \times 2} = 5\sqrt[3]{2}$

Step3: Multiply by the coefficient

$-9 \times 5\sqrt[3]{2}$

Answer:

$-45\sqrt[3]{2}$