This is a free lesson from our course in Algebra II
In this part of the lesson you'll learn how to simplify square roots or radicals. It is explained with the help
of video and audio presentation in own hand writing by the instructor using some
examples.
Square root of a positive number x is a number such that when it is squared, the number x results.
Every positive number has two square roots, one positive and one negative. They are opposites of each other. The word radical is used for the
expressions involving roots. A square root radical multiplied by itself produces
the radicand. E.g.
25
= 5. The mark
is known as the radical sign and the number under the radical sign is called radicand i.e. 25 in this example.
(More text below video...)
(Continued from above)
The simplest form of a
squareroot radical is one in which the radicand is an integer that has no perfectsquare
factor other than 1. If the radicand is a fraction, change it to an equivalent fraction that has a denominator that is a perfect square. If the radical has the coefficient
(# in front of the radical), simplify the radical and multiply outside number at
the end. For example, the simplest form of 3125
is given by 155. Note: By default the radical sign ''
means square root.
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