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Solving Radical Equations

Solving Radical Equations 1.17 - Solution

arrow_back Return to Solving Radical Equations
To solve equations with a variable expression inside a radical, we first want to make sure the radical is isolated. Then we can raise both sides of the equation to a power equal to the index of the radical. Let's try to solve our equation using this method!
Next, we will check for extraneous solutions. We do that by substituting for into the original equation. If the substitution produces a true statement, we know that our answer is correct. If it does not, then it is an extraneous solution.
Because our substitution produced a true statement, we know that our answer, is correct.