SOLUTION: problem reads: A student starts with a positive number, x,and takes the psoitive square root four times in succession. The final result is equivalent to which of the following?

Algebra ->  Square-cubic-other-roots -> SOLUTION: problem reads: A student starts with a positive number, x,and takes the psoitive square root four times in succession. The final result is equivalent to which of the following?       Log On


   

Question 636077: problem reads: A student starts with a positive number, x,and takes the psoitive square root four times in succession. The final result is equivalent to which of the following?
Not sure how to go about this question.
Found 2 solutions by solver91311, micstuart:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Equivalent to which of the following what?

John

My calculator said it, I believe it, that settles it
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Answer by micstuart(1) About Me  (Show Source):
You can put this solution on YOUR website!
You are taking a positive number, x, and squaring it 4 times. Let x = 65536.
sqrt%2865532%29 = 256 you have squared x 1 time. Now square it again
sqrt%28256%29 = 16 you have squared x 2 times... do it again
sqrt%2816%29 = 4 you have squared x 3 times... once more!
sqrt%284%29 = 2 Now you have squared x 4 times in succession


Note: you could use any positive number in place of x. I just chose 65536 because you could square it nicely 4 times in succession. Hope this helps