Question

Simplify: 10√6 − 2√216 + √96

Answer 1

Answer:

2√6.

Step-by-step explanation:

Given :

$10 \sqrt{6} - 2 \sqrt{216 } + \sqrt{96}$

$note => \\ \: \: \sqrt{216} = \sqrt{36 \times 6} = 6 \sqrt{6} \\ \sqrt{96} = \sqrt{16 \times 6} = 4 \sqrt{6}$

$10 \sqrt{6} - 2 \sqrt{216 } + \sqrt{96} \\ = 10 \sqrt{6} - 12 \sqrt{6 } + 4\sqrt{6} \\ = 14 \sqrt{6} - 12 \sqrt{6} \\ = 2 \sqrt{6}$

Hence, the answer is 2√6.