Binomial Radicals! Mr. Peter Richard

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Presentation transcript:

Binomial Radicals! Mr. Peter Richard Uses his radical expressions to teach you this Lesson!~ Always recycle your radicals!

Using the Distributive Property 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.

Example 2: Using the Distributive Property Multiply. Write the product in simplest form. Distribute Product Property of Square Roots. Simplify the radicands. Simplify.

Check It Out! Multiply. Write each product in simplest form. Distribute Product Property of Square Roots. Simplify the radicand. Simplify.

Try It Out! Multiply. Write the product in simplest form. Distribute Product Property of Square Roots. Multiply the factors in the first radicand. Factor 48 using a perfect-square factor. Product Property of Square Roots. Simplify.

Try Another!! Multiply. Write the product in simplest form. Distribute Product Property of Square Roots. Simplify the radicand. Simplify.

And Another One! Multiply. Write the product in simplest form. Distribute Product Property of Square Roots. Simplify the radicand. Simplify.

Sometimes you need to F.O.I.L. Around! First terms Outer terms Inner terms Last terms Remember!

= 20 + 3

Example 3A: Multiplying Sums and Differences of Radicals Multiply. Write the product in simplest form. Use the FOIL method. Simplify by combining like terms. Simplify the radicand. Simplify.

Example 3B: Multiplying Sums and Differences of Radicals Multiply. Write the product in simplest form. Expand the expression. Use the FOIL method. Simplify by combining like terms.

Try This 1 urself! Multiply. Write the product in simplest form. Use the FOIL method. Simplify by combining like terms.

Try it Out! Multiply. Write the product in simplest form. Expand the expression. Use the FOIL method. Simplify by combining like terms.

Check It Out! Example 3c Multiply. Write the product in simplest form. Expand the expression. Use the FOIL method. Simplify by combining like terms.

Check It Out! Example 3d Multiply. Write the product in simplest form. Use the FOIL method. Simplify by combining like terms.

Quiz and Homework! Quiz: Page 382 # 14, 16, 18, 20, 22 Homework: # 13, 15, 17, 19, 21