# How do you solve #sqrt(x-4) – sqrt(x+8)=2#?

##### 1 Answer

Feb 8, 2016

Square both sides of the equation, and isolate one radical to one side of the equation (see solution below).

#### Explanation:

Square both sides again to get rid of the remaining square root.

16 = x + 8

8 = x

Check in the original equation to make sure the solution is not an extraneous root.

So, this equation has no solution (

**Practice exercises:**

- Solve for x. Watch out for extraneous solutions.

a)

b)

Good luck!