How to you simplify radicals? Can someone ecplain with an example?
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WE SAY THAT A SQUARE ROOT RADICAL is simplified, or in its simplest form, when the radicand has no square factors.
A radical is also in simplest form when the radicand is not a fraction.
Example 1. 33, for example, has no square factors. Its factors are 3· 11, neither of which is a square number. Therefore, is in its simplest form.
Example 2. Extracting the square root. 18 has the square factor 9.
18 = 9· 2.
Therefore, is not in its simplest form. We have,
=
We may now extract, or take out, the square root of 9:
= = 3.
is now simplified. The radicand no longer has any square factors.
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