Over Lesson 6–4 5-Minute Check 1 A.11h B.11h 2 C.13h 2 D.–11h.

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Simplify Radical Expressions

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Presentation transcript:

Over Lesson 6–4 5-Minute Check 1 A.11h B.11h 2 C.13h 2 D.–11h

Over Lesson 6–4 5-Minute Check 2 A. B.–4ay 3 C. D.8ay 3

Concept

Example 1 Simplify Expressions with the Product Property Factor into squares where possible. Product Property of Radicals Answer:Simplify.

Example 1 Simplify Expressions with the Product Property Factor into cubes. Product Property of Radicals Simplify. Answer:

Example 1 A. Simplify. A. B. C. D.

Example 1 A. B. C. D.

Concept

Example 2 Simplify Expressions with the Quotient Property Quotient Property Factor into squares. Product Property A.

Example 2 Simplify Expressions with the Quotient Property Answer: Rationalize the denominator.

Example 2 Simplify Expressions with the Quotient Property Quotient Property Product Property Rationalize the denominator.

Example 2 Simplify Expressions with the Quotient Property Answer: Multiply.

Example 2 A. Simplify. A. B. C. D.

Example 2 B. Simplify A. B. C. D.

Concept

Example 3 Multiply Radicals = 5 ● 10 ● a or 50aMultiply. Product Property of Radicals Factor into cubes where possible. Product Property of Radicals Answer:5 ● 10 ● a or 50a

Example 3 A.12a B.24a C.4a D.6a

Example 4 Add and Subtract Radicals Factor using squares. Product Property Multiply. Combine like radicals. Answer:

Example 4 A. B. C. D.

Example 5 Multiply Radicals Simplify. F O I L Product Property Answer:

Example 5 A. B. C. D. Simplify.

Example 6 Use a Conjugate to Rationalize a Denominator GEOMETRY In a square with side a, the ratio of a side to the difference between the diagonal and a side is. Use a conjugate to rationalize the denominator and simplify.

Example 6 Use a Conjugate to Rationalize a Denominator Multiply. Simplify. Factor out the GCF.

Example 6 Use a Conjugate to Rationalize a Denominator Simplify.

Example 6 GEOMETRY In the triangle shown with height x, the ratio of the height to the base is. Use a conjugate to rationalize the denominator and simplify. A.B. C.D.