# How do you simplify 3 the square root of 275?

Oct 1, 2015

$275 = 5 \cdot 5 \cdot 11 = {5}^{2} \cdot 11 \to$
$3 \sqrt{275} = 3 \sqrt{{5}^{2} \cdot 11} = 3 \cdot \sqrt{{5}^{2}} \cdot \sqrt{11} =$
$3 \cdot 5 \cdot \sqrt{11} = 15 \sqrt{11}$