Section 5.6.A
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Transcript of Section 5.6.A
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Section 5.6.A
Radical Expressions
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1.) The distance a vehicle travels when coming to a stopcan be estimated with the following formula:
Breaking Distance
0 50 100 150 200
20
30
40
50
Speed (
miles
per
hour)
Distance (feet)
Reaction Distance
Breaking Distance
s2 5lwhere:
s = speed (mph) l = length of skid marks
If a car left a skid mark of 120 feet,how fast was it traveling?
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Product Property of Radicals
For any real numbers a and b, and any integer n, n > 1
abn an bn
If n is evenand
a and b are positive
If n is odd
abn an bn
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2. 481p 3.
3 7354 ba
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Quotient Property of Radicals
For any real numbers a and b, b ≠ 0 and any integer n, n > 1
If n is evenand
a and b are positive
a
bn
an
bn
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25
424
. 5. 22
820
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Rationalizing the DenominatorDon’t leave a radical in the denominator of a fraction
To eliminate a radical factor in the denominator multiply both the numerator and the denominator by
the radical in the denominator
n
n= 1
Remember
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Homework
Page 293 # 9-16Practice 12-5 problems #1-24 all