8.2.3 Solving Radical Equations and Inequalities Key Objectives • Solve radical equations and inequalities. Key Terms • A radical equation is an equation that contains a variable within a radical. • A radical inequality is an inequality that contains a variable within a radical. Example 1 Solving Equations Containing One Radical
Recall that quadratic equations can be solved by taking the square root of both sides. Similarly, radical equations can be solved by raising both sides to a power. Use the following steps to solve a radical equation. 1. Isolate the radical expression. 2. Raise both sides of the equation to the power equal to the index of the radical. 3. Simplify and solve.
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