Question

How do you evaluate `5\sqrt { 2} + 6\sqrt { 2} - 5\sqrt { 2}`?

Answer 1

`6sqrt(2)` or about `8.485`

Explanation:

I'm not sure whether you want the answer in radical form (i.e. `6sqrt(2)`) or decimal form (i.e `8.48528137424`)

`5sqrt(2) + 6sqrt(2) - 5sqrt(2)`

First of all, we have a `5sqrt(2)` and a `-5sqrt(2)`, meaning that they cancel out.
`cancel(5sqrt(2)) + 6sqrt(2) cancel(-5sqrt(2))`

So what we have left is just a `6sqrt(2)`.

If you want this evaluated into decimal, you can just plug it into a calculator and you get around `8.485` (rounded to the thousandth's place)