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

Learning Target

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

Simplify Square Roots

Prime factorization of 52

Answer:

= 2 ● Simplify.

Product Property of Square Roots

A. A

B. B

C. C

D. D

A.

B.

C. 15

D.

Multiply Square Roots

Product Property

Product Property

Answer: 4

= 2 ● 2 ● Simplify.

A. A

B. B

C. C

D. D

A.

B.

C.

D. 35

Simplify a Square Root with Variables

Prime factorization

Product Property

Simplify.

Answer: 3

A. A

B. B

C. C

D. D

A.

B.

C.

D.

nc

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

Which expression is equivalent to ?

A C

B D

Read the Test Item

The radical expression needs to be simplified.

Product Property of Square Roots

Solve the Test Item

Prime factorization

Simplify.

Answer: The correct choice is D.

A. A

B. B

C. C

D. D

A.

B.

C.

D.

• Conjugates – binomials of the form:

ab + cd and ab - cd

Use Conjugates to Rationalize a Denominator

(a – b)(a + b) = a2 – b2

Simplify.

A. A

B. B

C. C

D. D

A.

B.

C.

D.