SOLUTION: How do you work out 2x=3rd root of 32 over 8? I can't work out how you get the 3rd root without it being a mad decimal and it's awful!! My test on this is coming up too!

Algebra ->  Square-cubic-other-roots -> SOLUTION: How do you work out 2x=3rd root of 32 over 8? I can't work out how you get the 3rd root without it being a mad decimal and it's awful!! My test on this is coming up too!      Log On


   

Question 228758: How do you work out 2x=3rd root of 32 over 8?
I can't work out how you get the 3rd root without it being a mad decimal and it's awful!! My test on this is coming up too!
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
First reduce the fraction inside the cube root:
2x=+root%283%2C32%2F8%29
2x=+root%283%2C4%29

Divide by 2:

%282x%29%2F2=root%283%2C4%29%2F2+

x=root%283%2C4%29%2F2

That's it!! It's ugly, but that's it!! Do you need to calculate the decimal approximation?? I got .7937 with a calculator.

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus