SOLUTION: What is the easier way of finding the fourth positive root of 81 Do I have to start at 2 then move on to my three's, or is there a formula that will shorten this process? Thank

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Question 405537: What is the easier way of finding the fourth positive root of 81 Do I have to start at 2 then move on to my three's, or is there a formula that will shorten this process? Thank you
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
If you mean the principal root, it's +3
There are 4 th roots.
-3, +3, 3i and -3i
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81%5E%281%2F4%29+=+sqrt%28sqrt%2881%29%29+=+sqrt%289%29

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What is the easier way of finding the fourth positive root of 81 Do I have to start at 2 then move on to my three's, or is there a formula that will shorten this process?
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Form the prime factor form:
81 = 3*27
= 3*3*9
= 3*3*3*3
= 3^4
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So the 4th root is 3
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Cheers,
Stan H.