SOLUTION: True or False: For the set of integers, √x^n can be simplified when x>=0 and n >= 2. Justify your answer.

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Question 1016549: True or False: For the set of integers, √x^n can be simplified when x>=0 and n >= 2. Justify your answer.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Do you mean where and are both integers?

If so, then the answer is "True." x^n will always be divisible by x^2, and so you can remove factors of x^2 until the number inside the square root is either "x" or "1" (i.e. simplified form is an integer).