Question

How do you simplify `5 sqrt2 + 3 sqrt 50 - sqrt 75`?

Answer 1

I found:
`20sqrt(2)-5sqrt(3)`

Explanation:

I would write it as:
`5sqrt(2)+3sqrt(2*25)-sqrt(3*25)=`
`=5sqrt(2)+3sqrt(2)sqrt(25)-sqrt(3)sqrt(25)=`
`=5sqrt(2)+3*5sqrt(2)-5sqrt(3)=`
`=5sqrt(2)+15sqrt(2)-5sqrt(3)=`
`=20sqrt(2)-5sqrt(3)`