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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. 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