Question

6 root 2 by root 2 + root 3+ 2 root 6 by root 6 + root 3 - 3 root 8 by root 6 + root 2

Answer 1

$\frac{6 \sqrt{2} }{ \sqrt{2} } + \sqrt{3 } + \frac{2 \sqrt{6} }{ \sqrt{6} } + \sqrt{3} - \frac{3 \sqrt{8} }{ \sqrt{6} } + \sqrt{2} \\ = 6 + 2\sqrt{3 } + 2 - \frac{3(2 \sqrt{2} )}{ \sqrt{3} \sqrt{2} } + \sqrt{2} \\ = 8 + 2 \sqrt{3 } - 2 \sqrt{3} + \sqrt{2} \\ = \sqrt{2} + 8 \\ = 1.414 + 8 \\ = 9.414$