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Sunday, July 7, 2013

Algebraic Operations - Radicals, 22

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


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. In this case, multiply both the numerator and the denominator by ∛2 so that ∛8 becomes 2 in the denominator as follows





Therefore, the final answer is