Question

simplify. assume y is greater than or equal to zero. $4\sqrt{75y}$

Explanation:

Step1: Factor 75 into square factor

$75 = 25 \times 3$

Step2: Rewrite the radical

$4\sqrt{25 \times 3y} = 4\sqrt{25} \times \sqrt{3y}$

Step3: Simplify $\sqrt{25}$

$\sqrt{25} = 5$, so $4 \times 5 \times \sqrt{3y}$

Step4: Multiply the constants

$4 \times 5 = 20$

Answer:

$20\sqrt{3y}$