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First, isolate the term containing the radical.

Example 1 (one radical): Solve . Equation Containing Radicals: Solving Algebraically. First, isolate the term containing the radical. Next, square both sided to remove the radical. Now solve the resulting equation. x = - 4, x = - 3.

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First, isolate the term containing the radical.

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  1. Example 1 (one radical): Solve Equation Containing Radicals: Solving Algebraically First, isolate the term containing the radical. 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}.

  2. Example 2 (two radicals): Solve Equation Containing Radicals: Solving Algebraically First rewrite the equation so the radicals are on opposite sides. 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. Slide 2

  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. Equation Containing Radicals: Solving Algebraically The solution set is {- 7}. Slide 3

  4. Equation Containing Radicals: Solving Algebraically END OF PRESENTATION Click to rerun the slideshow.

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