Objective Solve radical equations.. Objective Solve radical equations.

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Presentation transcript:

Objective Solve radical equations.

A radical equation contains a variable within a radical A radical equation contains a variable within a radical. Recall that you can solve quadratic equations by taking the square root of both sides. Similarly, radical equations can be solved by raising both sides to a power.

Remember! For a square root, the index of the radical is 2.

To find a power, multiply the exponents. Remember!

Example 1A: Solving Equations Containing One Radical Solve each equation. Check Subtract 5. Simplify. Square both sides.  Simplify. Solve for x.

Example 1B: Solving Equations Containing One Radical Solve each equation. Check 3 7 7 5x - 7 84 = Divide by 7. 7 Simplify. Cube both sides.  Simplify. Solve for x.

Check It Out! Example 1a Solve the equation. Check Subtract 4. Simplify.  Square both sides. Simplify. Solve for x.

Check It Out! Example 1b Solve the equation. Check Cube both sides. Simplify. Solve for x. 