Dividing Radicals notes Solutions
Warm Up:
2.1 (ctd) Dividing Radicals,
Rationalizing Denominators,
and Conjugates
December 03, 2012
Dividing Radicals notes Solutions
Division Property of Radicals
EX.
December 03, 2012
Dividing Radicals notes Solutions
December 03, 2012
EX
Rationalizing the Denominator
Rationalizing the denominator means to remove any radicals
from the denominator.
Ex: Simplify
If there is no addition and subtraction on the
bottom of the fraction, just multiply the fraction
by what will get rid of the radical.
Dividing Radicals notes Solutions
Simplest Radical Form
(our goal for ever problem)
No perfect nth power factors other than 1.
No fractions in the radicand.
No radicals in the denominator
More Examples
December 03, 2012
Dividing Radicals notes Solutions
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Conjugates: Binomials in the form:
where a, b, and c are real numbers
The product of conjugates is a rational number. Therefore, we can
rationalize denominator of a fraction by multiplying by its conjugate.
Dividing Radicals notes Solutions
Examples:
Extra Examples (from previous HW WS)
December 03, 2012