chapter 7.5(b) rationalizing denominators and numerators of radical expressions.notebook
April 06, 2016
Homework Questions
Bellwork:
1) Write the equation of the line parallel to the line y = 2/3x + 4, that contains the point (­6, 12).
Solve by Factoring 2) 16x2 ­ 48x + 36 = 0
3) 49x2 ­ 121 = 0
Rationalize the Denominator: 4)
5) Apr 7­3:49 PM
Apr 7­3:59 PM
Rationalize the denominator of the following expression.
Chapter 7.5(b) Rationalizing the Denominators and Numerators of Radical Expressions
Hint: Get a perfect cube, by multiplying the radicand by it self raised to the 2nd power.
Be able to rationalize denominators with non­square roots and rationalize denominators having two terms.
Apr 7­3:59 PM
Apr 7­4:01 PM
1) Rationalize the Denominators 2) Rationalize the Denominators a.
a.
Hint: Rewrite radicand as a power if possible. Example: 4 = 22
b. What would we need in the denominator now?
b. Apr 7­4:07 PM
Apr 7­4:09 PM
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chapter 7.5(b) rationalizing denominators and numerators of radical expressions.notebook
April 06, 2016
3) Rationalize the Denominators a.
What about if there is more then one term in the denominator?
Remember that (a + b)(a ­ b) = a2 ­ b2 therefore
The two expressions are called conjugates of each other.
We can use conjugates to rationalize a denominator that is a sum or difference of two terms.
b. Apr 7­4:11 PM
Apr 7­4:13 PM
4) Use the conjugates to rationalize the denominator of the following problems: Find the conjugate of the following expressions:
a. a. b.
c.
b.
Apr 7­4:18 PM
Apr 7­4:20 PM
Homework
Rationalizing Radicals Ws
(back)
Apr 7­4:22 PM
Apr 6­4:11 PM
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