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Tuesday, July 9, 2013

Algebraic Operations - Radicals, 24

Category: Algebra, Arithmetic

"Published in Newark, California, USA"

Perform the indicated operations


Consider the given equation above

The above equation can be written as

As a rule in Mathematics, all radicals in the denominator should be rationalized or eliminated. This type of equation is a difficult one because the denominator consists of two cube roots of numbers 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 although the above equation are all numerals in order to rationalize the denominator as follows

Therefore, the final answer is