Question

How do you simplify `(12sqrt5-7sqrt7)+(6sqrt5-7sqrt7)`?

Answer 1

`18sqrt5-14sqrt7`

Explanation:

The parenthesis are unnecessary, thus we have

`color(purple)(12sqrt5)color(steelblue)(-7sqrt7)+color(purple)(6sqrt5)color(steelblue)(-7sqrt7)`

Next, we can combine like terms to get

`18sqrt5-14sqrt7`

Since our radicals have no perfect squares in them, we are done!

Hope this helps!