Splash Screen. Then/Now I CAN simplify radical expressions by using the Product Property of Square...

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Transcript of Splash Screen. Then/Now I CAN simplify radical expressions by using the Product Property of Square...

Page 1: Splash Screen. Then/Now I CAN simplify radical expressions by using the Product Property of Square Roots and the Quotient Property of Square Roots. Learning.
Page 2: Splash Screen. Then/Now I CAN simplify radical expressions by using the Product Property of Square Roots and the Quotient Property of Square Roots. Learning.

• I CAN simplify radical expressions by using the Product Property of Square Roots and the Quotient Property of Square Roots.

Learning Target

Page 3: Splash Screen. Then/Now I CAN simplify radical expressions by using the Product Property of Square Roots and the Quotient Property of Square Roots. Learning.

• Radical Expression – an expression that contains a radical sign.

Page 4: Splash Screen. Then/Now I CAN simplify radical expressions by using the Product Property of Square Roots and the Quotient Property of Square Roots. Learning.

Simplify Square Roots

Prime factorization of 52

Answer:

= 2 ● Simplify.

Product Property of Square Roots

Page 5: Splash Screen. Then/Now I CAN simplify radical expressions by using the Product Property of Square Roots and the Quotient Property of Square Roots. Learning.

A. A

B. B

C. C

D. D

A.

B.

C. 15

D.

Page 6: Splash Screen. Then/Now I CAN simplify radical expressions by using the Product Property of Square Roots and the Quotient Property of Square Roots. Learning.

Multiply Square Roots

Product Property

Product Property

Answer: 4

= 2 ● 2 ● Simplify.

Page 7: Splash Screen. Then/Now I CAN simplify radical expressions by using the Product Property of Square Roots and the Quotient Property of Square Roots. Learning.

A. A

B. B

C. C

D. D

A.

B.

C.

D. 35

Page 8: Splash Screen. Then/Now I CAN simplify radical expressions by using the Product Property of Square Roots and the Quotient Property of Square Roots. Learning.

Simplify a Square Root with Variables

Prime factorization

Product Property

Simplify.

Answer: 3

Page 9: Splash Screen. Then/Now I CAN simplify radical expressions by using the Product Property of Square Roots and the Quotient Property of Square Roots. Learning.

A. A

B. B

C. C

D. D

A.

B.

C.

D.

nc

Page 10: Splash Screen. Then/Now I CAN simplify radical expressions by using the Product Property of Square Roots and the Quotient Property of Square Roots. Learning.

• Rationalize the Denominator - a process that involves multiplying the numerator and denominator by a factor that eliminates radicals in the denominator.

Page 11: Splash Screen. Then/Now I CAN simplify radical expressions by using the Product Property of Square Roots and the Quotient Property of Square Roots. Learning.

Which expression is equivalent to ?

A C

B D

Read the Test Item

The radical expression needs to be simplified.

Page 12: Splash Screen. Then/Now I CAN simplify radical expressions by using the Product Property of Square Roots and the Quotient Property of Square Roots. Learning.

Product Property of Square Roots

Solve the Test Item

Page 13: Splash Screen. Then/Now I CAN simplify radical expressions by using the Product Property of Square Roots and the Quotient Property of Square Roots. Learning.

Prime factorization

Simplify.

Answer: The correct choice is D.

Page 14: Splash Screen. Then/Now I CAN simplify radical expressions by using the Product Property of Square Roots and the Quotient Property of Square Roots. Learning.

A. A

B. B

C. C

D. D

A.

B.

C.

D.

Page 15: Splash Screen. Then/Now I CAN simplify radical expressions by using the Product Property of Square Roots and the Quotient Property of Square Roots. Learning.

• Conjugates – binomials of the form:

ab + cd and ab - cd

Page 16: Splash Screen. Then/Now I CAN simplify radical expressions by using the Product Property of Square Roots and the Quotient Property of Square Roots. Learning.

Use Conjugates to Rationalize a Denominator

(a – b)(a + b) = a2 – b2

Simplify.

Page 17: Splash Screen. Then/Now I CAN simplify radical expressions by using the Product Property of Square Roots and the Quotient Property of Square Roots. Learning.

A. A

B. B

C. C

D. D

A.

B.

C.

D.