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Tuesday, July 9, 2013

Algebraic Operations - Radicals, 24

Category: Algebra, Arithmetic

"Published in Newark, California, USA"

Perform the indicated operations


Solution:

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