# Keyword Analysis & Research: principal cube root definition

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What is the principal cube root of a number?

In some contexts, particularly when the number whose cube root is to be taken is a real number, one of the cube roots (in this particular case the real one) is referred to as the principal cube root, denoted with the radical sign 3√.

What is principal square root?

The unique nonnegative square root of a nonnegative real number. For example, the principal square root of 9 is 3, although both and 3 are square roots of 9.

What is the difference between cube root and square root?

A cube root is a number, which when cubed gives the radicand, whereas the square root is a number which when squared gives the radicand. Also, the cube root of a negative number can be negative whereas the square root of a negative number cannot be negative.

Is the cube root operation distributive?

The cube root operation is not distributive with addition or subtraction . In some contexts, particularly when the number whose cube root is to be taken is a real number, one of the cube roots (in this particular case the real one) is referred to as the principal cube root, denoted with the radical sign 3√.