# How do you simplify -7sqrt98?

Mar 25, 2018

#### Answer:

$- 7 \sqrt{98} \Rightarrow - 49 \sqrt{2}$

#### Explanation:

Try to factor the radical so that it contains a perfect square.

In this case, we can factor:

$- 7 \sqrt{98} = - 7 \sqrt{49 \cdot 2}$

Now separate the radical into two terms and simplify:

$- 7 \sqrt{49 \cdot 2} = - 7 \sqrt{49} \sqrt{2} = - 7 \left(7\right) \sqrt{2} = - 49 \sqrt{2}$