# How do you simplify #20sqrt10+12+(-75sqrt2)-9sqrt5 #?

##### 1 Answer

Oct 8, 2015

#### Explanation:

Your starting expression looks like this

#20sqrt(10) + 12 -75sqrt(2) - 9sqrt(5)#

Right from the start, you can say that

As far as the other terms are concerned, you don't really have that much elbow room. You could try to write

#20sqrt(10) = 20sqrt(2 * 5) = 20 * sqrt(2) * sqrt(5)#

Now you could use

#12 + 5sqrt(2) * (4sqrt(5) - 15) - 9sqrt(5)#

Now you could maybe use

#3 * (4 - 3sqrt(5)) + 5sqrt(2) * (4sqrt(5) - 15)#

And that's about it.