1. Multiplying Radicals

2. You can use the Product and Quotient Properties (FOIL, Distributive Property, etc) of square roots you have already learned to multiply and divide expressions containing square roots.

3. Example 1
Multiply. Write the product in simplest form.
Product Property of Square Roots.
Multiply the factors in the radicand.
Factor 16 using a perfect-square factor.
Product Property of Square Roots
Simplify.

4. Example 2
Multiply. Write the product in simplest form.
Factor 4 using a perfect-square factor.
Product Property of Square Roots.
Take the square root..
Simplify.

5. Example 3
Multiply. Write each product in simplest form.
Distribute
Product Property of Square Roots.
Multiply the factors in the second radicand.
Factor 24 using a perfect-square factor.
Product Property of Square Roots.
Simplify.

6. Example 4
Multiply. Write the product in simplest form.
Distribute
Product Property of Square Roots.
Simplify the radicands.
Simplify.

7. Example 5
Multiply. Write the product in simplest form.
Use the FOIL method.
Simplify by combining like terms.
Simplify the radicand.
Simplify.

8. Example 6
Multiply. Write the product in simplest form.
Expand the expression.
Use the FOIL method.
Simplify by combining like terms.

9. Try these… Multiply. Write each product in simplest form. 1. 2. 3. 4.5. 6.