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

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) (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).
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SOLUTION: True or False: For the set of integers, &#8730;x^n can be simplified when x>=0 and n >= 2. Justify your answer.

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