Answer
$98 \sqrt{2}$
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 14. Also, recall, $\sqrt{a}\times \sqrt{b}= \sqrt{a \times b}$. Thus, we can multiply 7 and 14 to obtain the simplified expression:
$14 \sqrt{7 \times 14}=14\sqrt{98}$
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 49 and 2 are factors of 98. We know that 49 is a perfect square, so we simplify:
$14 \sqrt{49} \sqrt{2}=98 \sqrt{2}$
