Question

$( \frac{2}{3} \sqrt{7} - \frac{1}{2} \sqrt{2} + 6 \sqrt{11} ) + ( \frac{1}{3} \sqrt{7} + \frac{3}{2} \sqrt{2} - \sqrt{11} )$
SIMPLIFY

Answer 1

$\frac{2}{3} \sqrt{7} + \frac{1}{3} \sqrt{7 } - \frac{1}{2} \sqrt{2 } + \frac{3}{2} \sqrt{2 } + 6 \sqrt{11} - \sqrt{11} \\ = \frac{3}{3} \sqrt{7} + \frac{2}{2} \sqrt{2} + 5 \sqrt{11} \\ = 1 \sqrt{7} + 1 \sqrt{2} + 5 \sqrt{11} \\ = \sqrt{7} + \sqrt{2} + 5 \sqrt{11}$