lesson 1 mi/vocab radical expression radicand rationalizing the denominator conjugate simplify...

• radical expression• radicand• rationalizing the denominator• conjugate

• Simplify radical expression using the Product Property of Square Roots.

• Simplify radical expression using the Quotient Property of Square Roots.

Simplify Square Roots

Prime factorization of 52

Product Property of Square Roots

Answer:

= 2 ● Simplify.

A. AB. BC. CD. D

0% 0%0%0%

A.

B.

C. 15

D.

Multiply Square Roots

Product Property

Product Property

Answer: 4

= 22 ● Simplify.

1. A2. B3. C4. D

0%0%0%0%

A B C D

A.

B.

C.

D. 35

Simplify a Square Root with Variables

Answer:

Prime factorization

Product Property

Simplify.

1. A2. B3. C4. D

0%0%0%0%

A B C D

A.

B.

C.

D.

Rationalizing the Denominator

A.

Simplify.

Product Property of Square Roots

Answer:

Rationalizing the Denominator

Product Property of Square Roots

B.

Prime factorization

Rationalizing the Denominator

Divide the numerator and denominator by 2.

Answer:

A. AB. BC. CD. D

0% 0%0%0%

A.

A.

B.

C.

D.

A. AB. BC. CD. D

0% 0%0%0%

B.

A.

B.

C.

D.

1. What does FOIL stand for?

2-4. FOIL2. (2x + 3) (x + 4)

3. (y + 1) (x + 6)

4. (x + 7) (y + 2)

Use Conjugates to Rationalize a Denominator

(a – b)(a + b) = a2 – b2

is 5 + .

Answer: Simplify.

A. AB. BC. CD. D

A B C D

0% 0%0%0%

A.

B.

C.

D.

HW: 2 – 40 evens, 44

72 172

152 35

29 23

10 25

a2 23x

310 2a 28 3c

1524 39 x

52 2ba xyx10

62 2 ba yx29

cab 65

bbca 26 3 yzyx 53 42

27 32 zyx

33

22

2430

532

714

31030b

a

4

2

65ba

253

525

2

3

y

x

a

bbc 35 3

6224

331454