SOLUTION: please help me solve the cubic root for the number 3375.

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Question 87485: please help me solve the cubic root for the number 3375.
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
I used a calculator to find root%283%2C3375%29+=15. Are you allowed to use calculators? If not, then try this. Break down the number 3375 by trying to find a perfect cube that divides evenly into 3375. The perfect cubes are

2^3 = 8
3^3= 27
4^3= 64
5^3= 125

To begin with , since 3375 ends in a 5, it is divisible by 5, so try dividing 2275 by 125. It goes 27 times. So you can break it down like this:

root%283%2C3375%29+
root%283%2C+125%29%2Aroot%283%2C27%29+
5%2A3
15

R^2 Retired from SCC