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Warm up Simplify 1. i 58 2. i 106 3. (3 + i)(4 – 2i) 4. 80 1 1 i 14 2 4 5 i

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Page 1: Warm up Simplify 1. i 58 2. i 106 3. (3 + i)(4 – 2i) 4

Warm up

Simplify

1. i 58 2. i 106

3.(3 + i)(4 – 2i)4. 80

11

i 14 2

4 5i

Page 2: Warm up Simplify 1. i 58 2. i 106 3. (3 + i)(4 – 2i) 4

Questions over HW?

Page 3: Warm up Simplify 1. i 58 2. i 106 3. (3 + i)(4 – 2i) 4

NTH ROOTS &

RATIONAL EXPONEN

TS

Page 4: Warm up Simplify 1. i 58 2. i 106 3. (3 + i)(4 – 2i) 4

Parts of a radical

No number where the root is means it’s a square root

(2)!!

root radicand

Page 5: Warm up Simplify 1. i 58 2. i 106 3. (3 + i)(4 – 2i) 4

Simplifying Radicals

Break down the radicand in to prime factors.

Bring out groups by the number of the root.

root radicand

Page 6: Warm up Simplify 1. i 58 2. i 106 3. (3 + i)(4 – 2i) 4

TI – 36X ProPrime Factors for

YOU1. Type in the number

you need to prime factor

2. Press math3. Scroll down to the 4th

one Pfactor and enter

(or just press math 4)

Page 7: Warm up Simplify 1. i 58 2. i 106 3. (3 + i)(4 – 2i) 4

Simplify

31. 128 3 2 2 2 2 2 2 2

34 2

Page 8: Warm up Simplify 1. i 58 2. i 106 3. (3 + i)(4 – 2i) 4

Simplify

x3 32. 27x x x 3 3 3 3

x3

Page 9: Warm up Simplify 1. i 58 2. i 106 3. (3 + i)(4 – 2i) 4

Simplify

x4 73. 324 2 2 2 2 2 x x x x x x x

x x 4 32 2

Page 10: Warm up Simplify 1. i 58 2. i 106 3. (3 + i)(4 – 2i) 4

Simplify

x934.

27x

3

3

Page 11: Warm up Simplify 1. i 58 2. i 106 3. (3 + i)(4 – 2i) 4

REWRITING A RADICAL TO

HAVE A RATIONAL EXPONENT

Page 12: Warm up Simplify 1. i 58 2. i 106 3. (3 + i)(4 – 2i) 4

Rewriting Radicals to Rational Exponents

Power is on top

Roots are in the ground

powerpower

root rootradicand radicand

Page 13: Warm up Simplify 1. i 58 2. i 106 3. (3 + i)(4 – 2i) 4

Rewrite with a Rational Exponent

w5. 10 w1210

Page 14: Warm up Simplify 1. i 58 2. i 106 3. (3 + i)(4 – 2i) 4

Rewrite with a Rational Exponent

p36. 7 p137

Page 15: Warm up Simplify 1. i 58 2. i 106 3. (3 + i)(4 – 2i) 4

Rewrite with a Rational Exponent

5

7. 17 5217

Page 16: Warm up Simplify 1. i 58 2. i 106 3. (3 + i)(4 – 2i) 4

Rewrite with a Rational Exponent

y288. y28

y14

Page 17: Warm up Simplify 1. i 58 2. i 106 3. (3 + i)(4 – 2i) 4

Rewrite with a Rational Exponent

z3 69. z63

z 2

Page 18: Warm up Simplify 1. i 58 2. i 106 3. (3 + i)(4 – 2i) 4

Rewriting Rational Exponents to Radicals

power power

rootrootradicand radicand

Page 19: Warm up Simplify 1. i 58 2. i 106 3. (3 + i)(4 – 2i) 4

Rewrite with a Rational Exponent

(don’t evaluate)

3510. 12

35 12

Page 20: Warm up Simplify 1. i 58 2. i 106 3. (3 + i)(4 – 2i) 4

Rewrite with a Rational Exponent

(don’t evaluate)

2311. 13

23 13

Page 21: Warm up Simplify 1. i 58 2. i 106 3. (3 + i)(4 – 2i) 4

Rewrite with a Rational Exponent

(don’t evaluate)

x3212. x

3

Page 22: Warm up Simplify 1. i 58 2. i 106 3. (3 + i)(4 – 2i) 4

SIMPLIFYSometimes you can simplify in the calculator.

KNOW how to do it by hand!!

Change to a radical

Prime Factor

Bring out groups

of the root

Page 23: Warm up Simplify 1. i 58 2. i 106 3. (3 + i)(4 – 2i) 4

SIMPLIFY

3513. 32 3

5 32

8

Page 24: Warm up Simplify 1. i 58 2. i 106 3. (3 + i)(4 – 2i) 4

SIMPLIFY2314. 64

23 64

16

Page 25: Warm up Simplify 1. i 58 2. i 106 3. (3 + i)(4 – 2i) 4

SIMPLIFY1315. 125 3 125

5

Page 26: Warm up Simplify 1. i 58 2. i 106 3. (3 + i)(4 – 2i) 4

SIMPLIFY

3416. 81

3

4181

127

Page 27: Warm up Simplify 1. i 58 2. i 106 3. (3 + i)(4 – 2i) 4

SIMPLIFY

1417. 16 4

116

12

Page 28: Warm up Simplify 1. i 58 2. i 106 3. (3 + i)(4 – 2i) 4

18. The cube below has a volume of 343 cubic inches. Find the length of an edge of the cube.

x 3343

x 7

Page 29: Warm up Simplify 1. i 58 2. i 106 3. (3 + i)(4 – 2i) 4

19. The volume of a basketball is approximately 448.9 cubic inches. Find the radius of the basketball to the nearest tenth.

r 34448.9

3

x 4.7

Page 30: Warm up Simplify 1. i 58 2. i 106 3. (3 + i)(4 – 2i) 4

Get in to your quads please.

Click icon to add picture

Worksheet

Page 31: Warm up Simplify 1. i 58 2. i 106 3. (3 + i)(4 – 2i) 4

http://my.hrw.com/ C

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http://my.hrw.com/
http://my.hrw.com/

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