Question 23256: Without using a calculator, tell which is larger: the positive 6th root of 10 or the 3rd root of 3? Found 2 solutions by stanbon, rapaljer:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Raise both to the 6th power:
[6th root of 10}^6 = 10
[3rd root of 3]^6 = 3^2=9
So, 6th root is larger
Cheers,
Stan H.
You can put this solution on YOUR website! It is worth mentioning that the solution presented here by tutor Stanbon is valid ASSUMING that the numbers being raised to the 6th power (i.e., and ) are greater than 1! This argument does NOT work for values of x where .
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