Question

Simplify √6-√216+√96

Answer 1

First step
Simplify the roots,
$\sqrt{6} - \sqrt{216} + \sqrt{96} \\ = \sqrt{6} - \sqrt{2 \times 2 \times 2 \times 3 \times 3 \times 3} + \sqrt{3 \times 2 \times 2 \times 2 \times 2 \times 2} \\ = \sqrt{6} - 6 \sqrt{6} + 4 \sqrt{6}$
........................................................................
Second step,Simplification,
$\sqrt{6} - 6 \sqrt{6} + 4 \sqrt{6} \\ = \sqrt{6 } - 2 \sqrt{6} \\ = - \sqrt{6}$
Here is your answer mate
........................................................................
........................................................................
........................................................................

Answer 2

Hey mate!!!

Here's your answer!!

$\sqrt{6} - \sqrt{216} + \sqrt{96} \\ = > \sqrt{6} - 6 \sqrt{6} + 4 \sqrt{6} \\ = > - 5 \sqrt{6} + 4 \sqrt{6} \\ = > - \sqrt{ 6}$


Hope it helps!!!!