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Verified Answer :

the answer would be a) 14 sqrt 6 

\(2 \sqrt{6} + 3 \sqrt{96}\)

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

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