4­10­14.notebook
April 10, 2014
Target Statement: I can convert between rational and radical notation.
PT: Students should be able to evaluate nth root functions:
Bell Ringer: a) Divide the given polynomial using long division.
x3+x­10 ;(x­2) is the division.
b) Evaluate (­125)2/3.
c) (cd)2/(c4d3)
d) (2x­1)(3x+2) 1
4­10­14.notebook
April 10, 2014
Properties of Radicals:
For any real number a,
(an)1/n= abs(a) if n is a positive even integer, but
= a if n is a positive odd integer.
Simplify each expression:
a) (81 x3y4z6)1/2
b) (125x6yz5)1/3
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4­10­14.notebook
April 10, 2014
Simplify Each Expression: Assume that the value of each variable is positive.
a) (64ab5)1/2 * (8ab6)1/2
b) (9(48x8)1/3)/(2x3)1/3
Simplify each Sum or Difference:
a) (6+(12)1/2)+(­7+(751/2))
b) (­5­(181/2))­(6+(50)1/2)
Simplify Each Product: (­3+ 5sqrt(2)) (4 +2sqrt(2))
(3­sqrt(2))(3sqrt(2)+1)
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April 10, 2014
Write each expression with rational denominators:
a) 1/sqrt (3)
b) 2/(1+sqrt(3))
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Guided Practice:
"Try This" a and b pg. 529.
a and b pg. 530
And both "a and b's" pg. 531
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Homework assignment / assessment: pg.533 (14­70 e­o­e)
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