Question

1. simplify: $4\sqrt{75}$

Explanation:

Step1: Factor 75 into square factor

$75 = 25 \times 3$

Step2: Split the square root

$4\sqrt{75} = 4\sqrt{25 \times 3} = 4 \times \sqrt{25} \times \sqrt{3}$

Step3: Simplify $\sqrt{25}$

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

Step4: Multiply the constants

$4 \times 5 = 20$

Answer:

$20\sqrt{3}$