This is a free lesson from our course in Algebra II
This lesson explains how to divide square roots radicals and rationalize the denominator. Dividing square roots is similar to simplifying
a fraction to lowest terms. For all radicals whose denominators are not equal to
0, divide coefficients, divide radicands, and simplify it. If there is a square root in the denominator of
the fraction, you need to simplify by multiplying both the numerator and denominator
by the square root that is in the denominator. It may be noted this step will not
change the value of the fraction; only its form is changed. This is called 'rationalizing
the denominator'.To rationalize take the radical from the denominator, multiply the numerator
and denominator by the radical as it appears in the denominator. E.g. 3/5
on simplification, yields 35/5.
(More text below video...)
(Continued from above)
If there is a binomial radical expression E.g. (a + bc)
in the denominator, we will multiply by the conjugate.
To find the conjugate of (a + bc)
switch the sign between them. For example, 5/(4 + 23)
simplifies to (10 - 53)/2.
It may appear to be hard to understand, but will be much easier once you learn with
the help of some examples instructor explains using audio, video presentation in
own hand writing.
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