Intermediate Algebra
Answer/Discussion to Practice Problems
Tutorial 37: Radicals
Answer/Discussion
to 2a
Since it didn't say that x or y are
positive, we have to assume that they can be either positive or negative.
Since the root number and exponent are equal, then we can use the rule.
Since the root number and the exponent inside are equal and are the
even number 2, then we need to put an absolute value around x
 y for our answer. The reason for the absolute value is that we do not
know if x or y are positive or negative. So if we put x  y as
our answer and it was negative, it would not be a true statement. 
Answer/Discussion
to 2b
Since the root number and exponent are equal then we can use the rule.
This time our root number and exponent were both the odd number 3.
When an odd numbered root and exponent match, then the answer is the base
whether it is negative or positive. 
Last revised on July 19, 2011 by Kim Seward.
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