Answer
$40 \sqrt{6}$
Work Step by Step
First of all, in order to make this one large square root, we multiply the coefficients to obtain that the new coefficient is 20. Also, recall, $\sqrt{a}\times \sqrt{b}= \sqrt{a \times b}$. Thus, we can multiply 2 and 12 to obtain the simplified expression:
$20\sqrt{2 \times 12}=20\sqrt{24}$
In order to simplify a radical, we consider the factors of the number inside of the radical. If any of these factors are perfect squares, meaning that their square root is a whole number, then we can simplify the radical. We know that 6 and 4 are factors of 24. We know that 4 is a perfect square, so we simplify:
$20 \sqrt{4} \sqrt{6}=40 \sqrt{6}$
