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Table of Contents First, isolate the term containing the radical. Equation Containing Radicals: Solving Algebraically Example 1 (one radical): Solve Next, square both sided to remove the radical. Now solve the resulting equation. x = - 4, x = - 3 Last, check each of these proposed solutions by substituting into the original equation. Both check so the solution set is { - 4, - 3}.

Table of Contents First rewrite the equation so the radicals are on opposite sides. Equation Containing Radicals: Solving Algebraically Slide 2 Example 2 (two radicals): Solve Next, square both sides. Since the equation now only contains one radical we can solve it by following the steps in the previous example; isolate the radical, etc. x = 12, x = 24 Both check.

Table of Contents The solution set is {- 7}. Equation Containing Radicals: Solving Algebraically Slide 3 Try to solve Notes: If the equation of example 1 instead contained a cube root you would cube (not square) both sides once the radical term was isolated. It is not mandatory to check proposed solutions when raising both sides to an odd power. If an error has not been made, all the proposed solutions will check.