warm up
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Warm up. Simplify i 58 i 106 (3 + i )(4 – 2i). Questions over HW?. N th Roots & Rational Exponents. Parts of a radical. No number where the root is means it’s a square root (2 )!!. Simplifying Radicals. Break down the radicand in to prime factors. - PowerPoint PPT PresentationTRANSCRIPT
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Warm upSimplify1. i 58 2. i 106
3.(3 + i)(4 – 2i)4. 80
11
i 14 24 5i
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Questions over HW?
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NTH ROOTS &
RATIONAL EXPONEN
TS
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Parts of a radical
No number where the root is means it’s a square root
(2)!!
root radicand
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Simplifying Radicals
Break down the radicand in to prime factors.Bring out groups by the number of the root.
root radicand
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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)
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Simplify
31. 128 3 2 2 2 2 2 2 2
34 2
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Simplify
x3 32. 27x x x 3 3 3 3
x3
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Simplify
x4 73. 324 2 2 2 2 2 x x x x x x x
x x 4 32 2
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Simplify
x934. 27
x
3
3
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REWRITING A RADICAL TO
HAVE A RATIONAL EXPONENT
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Rewriting Radicals to Rational Exponents
Power is on topRoots are in the ground
powerpowerroot rootradicand radicand
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Rewrite with a Rational Exponent
w5. 10 w1210
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Rewrite with a Rational Exponent
p36. 7 p137
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Rewrite with a Rational Exponent
57. 17 5217
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Rewrite with a Rational Exponent
y288. y28
y14
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Rewrite with a Rational Exponent
z3 69. z63
z 2
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Rewriting Rational Exponents to Radicals
power powerrootrootradicand radicand
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Rewrite with a Rational Exponent
(don’t evaluate)3510. 12
35 12
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Rewrite with a Rational Exponent
(don’t evaluate)2311. 13
23 13
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Rewrite with a Rational Exponent
(don’t evaluate)
x3212. x
3
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SIMPLIFYSometimes you can simplify in the calculator.
KNOW how to do it by hand!!
Change to a radicalPrime FactorBring out groups of the root
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SIMPLIFY
3513. 32 35 32
8
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SIMPLIFY2314. 64
23 64
16
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SIMPLIFY1315. 125 3 125
5
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SIMPLIFY
3416. 81
3
4 181
127
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SIMPLIFY
1417. 16 4 1
16
12
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18. The cube below has a volume of 343 cubic inches. Find the length of an edge of the cube.
x 3343x 7
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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
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Get in to your quads please.
Click icon to add picture
Worksheet
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