Ch 10.2 (2)
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Transcript of Ch 10.2 (2)
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Ch 10.2 (2)
Objective:
To simplify radical expressions involving
division.
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DefinitionsQuotient Property
The square root of a quotient equals the quotient of the square roots of the numerator (top) and denominator (bottom).
For example, =
and =
√ab
√a √b
√a √b √
ab
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Rules for Division
Simplifying
The values must be EXACTLY the same if they are to be crossed out.
For example: , ,
Rationalizing the Denominator
The denominator should NOT contain a radical expression. In order to eliminate the radical, you must multiply both the numerator (top) and denominator (bottom) by the radical expression.
(the next slide has more detailed info)
(√3 and 3 are not the same and cannot be crossed out!
2 3 3
2 √3 √3
2 √3 3
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Three Rules for Simplifying Radical Expressions
1) Leave no pairs in a radicand.
2) Leave no fractions or decimals in a radical.
3) Leave no radicals in a denominator (bottom).
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Examples of Division
1)
2)
3)
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More examples of Division
4)
5)
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More Example of Division.
6)
7)