Question

How do you add `sqrt 18 + 2 sqrt 75 - sqrt 48`?

Answer 1

I would write it as:
`sqrt(6*3)+2sqrt(25*3)-sqrt(6*8)=`
`=sqrt(6)sqrt(3)+sqrt(4*25*3)-sqrt(6)sqrt(4*2)=`
`=sqrt(6)sqrt(3)+sqrt(25*12)-sqrt(6)sqrt(4*2)=`
`=sqrt(6)sqrt(3)+5sqrt(6)sqrt(2)-2sqrt(6)sqrt(2)=`
`=sqrt(6)[sqrt(3)+5sqrt(2)-2sqrt(2)]=`
`=sqrt(6)[sqrt(3)+3sqrt(2)]=`