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• 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
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.