When faced with an equation, no matter what type, combine like terms on each side, such as adding all the constants or any expressions that contain the same variable. If there are still any square roots lingering in the equation once you've done that, isolate the square root on one side of the equation and square both sides to get rid of it.
Isolate the Square Root
You can perform any valid operation on one side of an equation, as long as you perform the same operation on the other side as well. Use basic algebraic operations to isolate the square root term on one side of the fraction. Note that when writing square root terms in text, "sqrt" is sometimes used as an abbreviation for "square root." Here's an example: If you have 9 - sqrt(x) = 2[sqrt(x)], add sqrt(x) to both sides to get 9 = 3[sqrt(x)]. Divide both sides by 3 to eliminate the coefficient -- the number in front of the variable term -- and finish isolating the square root term, which gives you 9/3 = sqrt(x) or 3 = sqrt(x).
Square Both Sides
Square both sides of the equation. To conclude the example, you would write: 3^2 = [sqrt(x)]^2. Simplifying from there you would get: 3^2 is 9 -- the square root and the square on the right side cancel each other out, so the end result is 9 = x. Always check your answer by substituting the value of the variable into the original equation and simplifying to see if the two sides come out equal: In this case, you have: 9 - sqrt(9) = 2[sqrt(9)] or 9 - 3 = 2(3), which simplifies to 6 = 6, so the answer is good.