# How do you simplify 4sqrt11(2sqrt11+3sqrt5)?

$= 4 \sqrt{11} \cdot 2 \sqrt{11} + 4 \sqrt{11} \cdot 3 \sqrt{5}$
$= 4 \cdot 2 \cdot {\left(\sqrt{11}\right)}^{2} + 4 \cdot 3 \cdot \sqrt{5 \cdot 11}$
$= 8 \cdot 11 + 12 \cdot \sqrt{55} = 88 + 12 \sqrt{55}$