2. Add ___ to each side. Example 1 Solve a radical equation Solve Write original equation. 3.5 Solve Radical Equations Solution Divide each side by ___. Square each side. Simplify. Subtract ___ from each side The solutions is ____.

3. 3.5 Solve Radical Equations Checkpoint. Complete the following exercise.

4. Square each side. Example 2 Solve an equation with an extraneous solution Solve Write original equation. 3.5 Solve Radical Equations Solution Simplify. Write in standard form. Factor.

5. Example 2 Solve an equation with an extraneous solution Solve 3.5 Solve Radical Equations Solution CHECK Check ___ and ____ in the original equation. Because ____ does not check in the original equation, it is an __________________. extraneous solution The only solution of the equation is ___.

6. 3.5 Solve Radical Equations Checkpoint. Solve the equation.

7. 3.5 Solve Radical Equations Checkpoint. Solve the equation.

8. Square each side. Example 3 Solve an equation with radicals on both sides Solve Write original equation. 3.5 Solve Radical Equations Solution Simplify. Subtract ____ from each side. Add ___ to each side. The solution is ___. Check the solution.

9. 3.5 Solve Radical Equations Checkpoint. Solve the equation.

10. 3.5 Solve Radical Equations Checkpoint. Solve the equation.

11. 3.5 Solve Radical Equations Pg. 159, 3.5 #1-32

12. Example 2 Multiply radicals 3.4 Simplify Radical Expressions

13. 3.4 Simplify Radical Expressions QUOTIENT PROPERTY OF RADICALS Words The square root of a quotient equals the _______ of the ______ ______ of the numerator and denominator. quotient square roots Algebra Example

14. Example 3 Use the quotient property of radicals Simplify. _______ _________ of radicals. Quotient property 3.4 Simplify Radical ExpressionsSimplify. _______ _________ of radicals. Quotient property

15. 3.4 Simplify Radical Expressions Checkpoint. Simplify the expression.

16. Example 4 Rationalize the denominator Multiply by. 3.4 Simplify Radical ExpressionsSimplify. Product property of radicals.

17. Example 4 Rationalize the denominator Multiply by 3.4 Simplify Radical ExpressionsSimplify. Multiply.

18. Example 5 Add and subtract radicals Factor using perfect square factor. 3.4 Simplify Radical ExpressionsSimplify. Product property of radicals. Simplify.

19. Example 5 Add and subtract radicals Factor using perfect square factor. 3.4 Simplify Radical ExpressionsSimplify. Product property of radicals. Simplify.

20. 3.4 Simplify Radical Expressions Checkpoint. Simplify the expression.

21. 3.4 Simplify Radical Expressions Pg. 154, 3.4 #1 – 27