# How do you simplify -4√10 + 6√40?

Oct 26, 2015

8sqrt(10

#### Explanation:

We want the same radical in each term to combine the two. We can simplify $6 \sqrt{40}$ by looking at is as $6 \sqrt{10 \cdot 2 \cdot 2}$. Take out the $2$ and we get $12 \sqrt{10}$ while the other term $- 4 \sqrt{10}$ remains unchanged.

Now we just combine them together.

$- 4 \sqrt{10} + 12 \sqrt{10}$

$\Rightarrow 8 \sqrt{10}$