SOLUTION: I am reveiwing algebra on my own in my old age. I am stumped on a problem. I need to find the 6th root of 225. I have broken the equation down into the square and the 3rd root,

Algebra ->  Square-cubic-other-roots -> SOLUTION: I am reveiwing algebra on my own in my old age. I am stumped on a problem. I need to find the 6th root of 225. I have broken the equation down into the square and the 3rd root,       Log On


   



Question 236908: I am reveiwing algebra on my own in my old age. I am stumped on a problem. I need to find the 6th root of 225. I have broken the equation down into the square and the 3rd root, but cannot find the book answer which is the cube root of 15. Can you help? I am over half way through the book and do not move on until I have solved all of the odd numbered problems and checked my answers against the book answers.
Found 2 solutions by rfer, MathTherapy:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
I am using a calculator
the answer is 2.466212
I have not done the manual in many years
Hope this helps though

Answer by MathTherapy(10702) About Me  (Show Source):
You can put this solution on YOUR website!
I am reveiwing algebra on my own in my old age.  I am stumped on a problem. I need to find the 6th root of 225.
I have broken the equation down into the square and the 3rd root, but cannot find the book answer which is the cube
root of 15.  Can you help?  I am over half way through the book and do not move on until I have solved all of the
odd numbered problems and checked my answers against the book answers.

I don't see how the other person's answer helped at all, especially when you stated the answer, in RADICAL form,
and he/she used a calculator. Couldn't anyone with a calculator and a way to punch in the info. do that? 

Anyway, highlight%28root%286%2C+225%29%29  = root%286%2C+15%5E2%29 = root%286%2F2%2C+15%29 = highlight%28root%283%2C+15%29%29
OR

highlight%28root%286%2C+225%29%29 = root%286%2C+15%5E2%29 = %2815%5E2%29%5E%281%2F6%29%29 = matrix%282%2C1%2C+%22+%22%2C+15%5E%282%281%2F6%29%29%29 = matrix%282%2C1%2C+%22+%22%2C+15%5E%281%2F3%29%29 = highlight%28root%283%2C+15%29%29