SOLUTION: The question is: Evaluate. Cube is outside the square root symbol and negative 125 is inside. How do I solve this problem? Any assistance is appreciated. Thank you.

Algebra ->  Square-cubic-other-roots -> SOLUTION: The question is: Evaluate. Cube is outside the square root symbol and negative 125 is inside. How do I solve this problem? Any assistance is appreciated. Thank you.      Log On


   



Question 87471: The question is:
Evaluate. Cube is outside the square root symbol and negative 125 is inside. How do I solve this problem? Any assistance is appreciated.
Thank you.

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
I believe what you mean is +root%283%2C-125%29.

The answer is -5, since if you take -5 and cube it (that is %28-5%29%5E3), you get -125.

It is important to realize that the cube root of a negative number is a negative number, but the SQUARE root of a negative number is not possible in the real numbers. If you have studied imaginary numbers (or complex numbers!), then a square root of a negative is an imaginary number (involving the letter "i")!

R^2 Retired from SCC