Question

How do you simplify -4√10 + 6√40?

Answer 1

`8sqrt(10`

Explanation:

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

Now we just combine them together.

`-4sqrt(10)+12sqrt(10)`

`rArr 8sqrt(10)`