Question

simplify.
$5\sqrt{147}$

Explanation:

Step1: Factor 147 into square factor

$147 = 49 \times 3 = 7^2 \times 3$

Step2: Simplify the square root

$\sqrt{147} = \sqrt{7^2 \times 3} = 7\sqrt{3}$

Step3: Multiply by the coefficient 5

$5 \times 7\sqrt{3}$

Answer:

$35\sqrt{3}$