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Question by  vsatsang (15)

# How do you solve radical equations?

I have a test next week.

 +1 vote! +7 you voted Answer by  Ligia (18) Isolate the radical. Square each side of the equation. Solve the equation according to the type (linear or quadratic). Check your solution

 +1 vote! +7 you voted Answer by  cgroverla (516) You must clear the radicals, usually by isolating the radical term on one side and squaring the equation. Solve the resulting equation. Check that your answers solve the original equation.

 +1 vote! +7 you voted Answer by  Clement (1453) A common technique consists in isolating the radical. Once the radical has been isolated, i. e. , you can square both sides. Beware that squaring the sides can lead to superficial solutions that have to be checked by remembering that square roots are defined only for non-negative numbers.

 +1 vote! +5 you voted Answer by  jimmyxxx (18) 1. Isolate the square root x on one side of the equation. 2. Square both sides. Example: sqrt(x) - 3 = 5 step 1: sqrt(x) = 8 step 2: x = 64

 +1 vote! +5 you voted Answer by  parnell257 (109) Use algebra to place the radical on one side of the equation and everything else on the other side. Raise both sides of the equation to the power necessary to get rid of the radical, e. g. , if the radical is a squareroot, then square both sides. Then you should have a simple algebra problem to solve.