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Thursday, June 13, 2013

Simplifying Radicals

Category: Algebra

"Published in Newark, California, USA"

 Simplify


Solution:

Consider the given equation above


We can rewrite the above equation as follows


 Next, we need to eliminate the radical sign at the denominator by rationalization of the denominator. The exponent of 3 is 2 and the exponent of y is 3. We need to multiply both the numerator and denominator by 32y as follows





Since the exponent of 3 is 2, the exponent of x is 1, and the exponent of y is 1, then we cannot simplify further because the index of the radical is 4. Therefore, the final answer is


or