Radical Workshop Worksheet
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4RADICAL WORKSHOP
PARTS OF RADICALS:
Index or Root
Radicand
PROPERTIES OF RADICALS:
A.
Example:
B.
Example:
C.
Examples:
D.
Examples:
1.
4.
2.
5.
3.
E.
Examples:
1.
2.
3.
Rationalizing the Denominator:
When simplifying fractions with radicals, you need to rationalize the denominator by multiplying the
numerator and the denominator by the
smallest value that will allow you to eliminate the radical in the
denominator, as shown below.
Examples:
1.
3.
2.
4.
Rules for Simplifying Radicals:
1. There should be no factor in the radicand that has a power greater than or equal to the index.
2. There should be no fractions under the radical sign.
3. There should be no radicals in the denominator (i.e. the denominator should be rationalized).
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