Question

How do you solve `1+ sqrt(x-3) = sqrt( x+2)`?

Answer 1

`x=7`

Explanation:

Square both sides

`(1+sqrt(x-3))^2=x+2`

`1+2sqrt(x-3)+cancel(x)-3=cancel(x)+2`

`2=sqrt(x-3)`

square both sides

`x=7`