2. 3.4 Simplify Radical Expressions PRODUCT PROPERTY OF RADICALS Words The square root of a product equals the _______ of the ______ ______ of the factors. product square roots Algebra Example

3. Example 1 Use the product property of radicals Simplify. Simplify. _______ _________ of radicals. Product property Factor using perfect square factors. 3.4 Simplify Radical Expressions

4. Example 2 Multiply radicals 3.4 Simplify Radical Expressions

5. 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

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

7. 3.4 Simplify Radical Expressions Checkpoint. Simplify the expression.

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

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

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

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

12. 3.4 Simplify Radical Expressions Checkpoint. Simplify the expression.

13. 3.4 Simplify Radical Expressions Pg. 154, 3.4 #1 – 27