Question 1

What is a cube root?

Accepted Answer

The cube root of a number x is the value that, when multiplied by itself three times, gives x. It is written as ∛x. For example ∛27 = 3 because 3 × 3 × 3 = 27.

Question 2

Can you take the cube root of a negative number?

Accepted Answer

Yes. The cube root of a negative number is negative: ∛(-8) = -2 because (-2)³ = -8. This is different from the square root, which is not defined for negative numbers in real arithmetic.

Question 3

What is the nth root?

Accepted Answer

The nth root of x is the number r such that r^n = x. For even n the input must be non-negative to get a real result; for odd n any real input works. The calculator supports any integer n from 2 upward.

Question 4

How accurate are the results?

Accepted Answer

The calculator uses JavaScript Math.pow with double-precision floating point, giving about 15 significant digits. For perfect cubes such as 27 or 125 it returns the exact integer root.