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

Questions over HW?

NTH ROOTS &

RATIONAL EXPONEN

TS

Parts of a radical

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

(2)!!

root radicand

Simplifying Radicals

Break down the radicand in to prime factors.

Bring out groups by the number of the root.

root radicand

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)

Simplify

31. 128 3 2 2 2 2 2 2 2

34 2

Simplify

x3 32. 27x x x 3 3 3 3

x3

Simplify

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

x x 4 32 2

Simplify

x934.

27x

3

3

REWRITING A RADICAL TO

HAVE A RATIONAL EXPONENT

Rewriting Radicals to Rational Exponents

Power is on top

Roots are in the ground

powerpower

root rootradicand radicand

Rewrite with a Rational Exponent

w5. 10 w1210

Rewrite with a Rational Exponent

p36. 7 p137

Rewrite with a Rational Exponent

5

7. 17 5217

Rewrite with a Rational Exponent

y288. y28

y14

Rewrite with a Rational Exponent

z3 69. z63

z 2

Rewriting Rational Exponents to Radicals

power power

rootrootradicand radicand

Rewrite with a Rational Exponent

(don’t evaluate)

3510. 12

35 12

Rewrite with a Rational Exponent

(don’t evaluate)

2311. 13

23 13

Rewrite with a Rational Exponent

(don’t evaluate)

x3212. x

3

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

SIMPLIFY

3513. 32 3

5 32

8

SIMPLIFY2314. 64

23 64

16

SIMPLIFY1315. 125 3 125

5

SIMPLIFY

3416. 81

3

4181

127

SIMPLIFY

1417. 16 4

116

12

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

x 3343

x 7

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

Get in to your quads please.

Click icon to add picture

Worksheet

http://my.hrw.com/ C

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P

assw

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for

you

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extb

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