Question

6 √ 6 + 2 √ 2 − 5 √ 2 − √ 2 − 5 √ 2

Answer 1

take √2 common

√2(6+2-5-1-5)

=√2(-3)

=-3√2

Answer 2

$\bf{\huge{\underline{Question}}}$

$6 \sqrt{6} + 2 \sqrt{2} - 5 \sqrt{2} - \sqrt{2} - 5 \sqrt{2}$

$\bf{\huge{\underline{Answer}}}$

$\therefore \: 6 \sqrt{6} + 2 \sqrt{2} - 5 \sqrt{2} - \sqrt{2} - 5 \sqrt{2} \\ ⇢ 6 \sqrt{6} + 2 \sqrt{2} - 11 \sqrt{2} \\ ⇢6 \sqrt{6} - 9 \sqrt{2} \\ ⇢3 \times 2 \sqrt{3 \times 2} \: - \: 3 \times 3 \sqrt{2}$$⇢\boxed{ \red{3 \sqrt{2} (2 \sqrt{3} - 3)}}$