Question

Simplify the radical expression. 2 sqrt6 + 3 sqrt 96

Answer 1

The answer would be a) 14 sqrt 6 

Answer 2

$2 \sqrt{6} + 3 \sqrt{96}$

First break down 96 into the smaller factors of 6 and 16
$2 \sqrt{6} + 3 \sqrt{16*6}$

Now the square root of 16 comes out even as 4 so you can evaluate that part.
$2 \sqrt{6} + (3 * 4) \sqrt{6}$

Multiply 3 and 4 to get 12
$2 \sqrt{6} + 12 \sqrt{6}$

And now that the square roots on both parts of the eqations are the same you can add them to get: $14 \sqrt{6}$

Therefore your answer is a