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Wednesday, July 10, 2013

Algebraic Operations - Radicals, 25

Category: Algebra

"Published in Newark, California, USA"

Perform the indicated operations


Consider the given equation above

The above equation can be written as

If you will multiply a radical with another radical with the same index, then the terms inside the radicals will be multiplied together.

As a rule in Mathematics, all radicals in the denominator should be rationalized or eliminated. This type of equation is a difficult one because both the numerator and the  denominator consist of a cube root of an equation and another number without a radical sign. We can eliminate the cube root sign at the denominator by applying the principles of Algebra which is the Sum and Difference of Two Cubes as follows

Apply the Distributive Property of Multiplication Over Addition at the numerator, we have

Therefore, the final answer is