Question

Simplify the radical expression.

Answer 1

\[2\sqrt{6}+3\sqrt{96}\]

Answer 2

@nikato @AccessDenied

Answer 3

To simplify a radical expression like this, we need to get the same \( \sqrt{6} \) in each term. Then we can add these two: \(a \sqrt{6} + b \sqrt{6} = (a + b) \sqrt{6} \).

So I'd factor out a \( \sqrt{6} \) from the \( \sqrt{96} \). If the remaining factor is a perfect square, we can simplify it to a coefficient. Does that make sense?

Answer 4

In this situation it is good to remember your rules for radicals.
\( \sqrt{a * b} = \sqrt{a} \sqrt{b} \)
\( \sqrt{96} = \sqrt{6 \times \color{red}{\dfrac{96}{6}}} = \sqrt{6} \sqrt{\color{red}{\dfrac{96}{6}}} \) Writing the 96/6 in red because you should be able to simplify that part.

Answer 5

Okay. I get it now. Thank you!

Answer 6

Glad to help! :)