What is the real cube root of -125?

The cube root of a number is the value that, when cubed, gives that number. Since $(-5)^3=(-5)(-5)(-5)=-125$, the real cube root of $-125$ is $-5$, choice C. Unlike square roots, cube roots of negative numbers are real, because an odd power of a negative number stays negative. Choice B ($5$) has the wrong sign since $5^3=125$. Choice A ($-25$) is $-125\div5$, which does not cube back to $-125$. Choice D claims the root is not real, which is true for square roots of negatives but not for cube roots.