# How would you simplify #sqrt(x+1)=3- sqrt( x-2)#?

##### 1 Answer

Make a simplifying substitution, like

#### Explanation:

One way to solve this type of equation is by doing substitutions to simplify one of the square-roots. In this case, it would be really nice if we could do the square root of

From which we can solve for

Substituting these into the equation we get:

let's take the

Finally, we can substitute this into our original expression for

Let's check this answer by substituting it into the original equation: