This is a free lesson from our course in Algebra II
In this lesson you'll explore the concept from multiplication of square roots and radicals. All this is explained with the
help of video and audio presentation in own hand writing by the instructor using
some examples.
Steps to multiply are:
• multiply the coefficients. Follow the usual sign rules to determine if the new coefficient should be positive or negative.
• multiply the radicands. Radicands are always positive.
• simplify the radicand to remove any factors that are perfect squares.
We use the fact that the product of two radicals is the same as the radical of the product, and vice versa.
(More text below video...)
(Continued from above)
E.g. Multiplication of two radicals i.e. 4
6
and 11
3,
results in 1322.
The distributive law can be used to multiply any expression
by a monomial. FOILmethod can be used to multiply two binomial expressions. E.g. Multiplication of
two binomials (5 +
3)
(2 +
5)
= 10 + 5
5
+ 2
3
+
15.
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6
and 11