Cube Roots

The cube root of a number is a value that, when multiplied by itself three times, gives the original number. It is denoted as $$\text{cube root}(x) = x^{1/3}$$ .

The cube root of 64 is 4, since $$4 \times 4 \times 4 = 64$$ .

A perfect square is a number that can be expressed as the square of an integer, while a perfect cube is a number that can be expressed as the cube of an integer. Some numbers can be both, like 64.

To calculate the cube root of a number, you can use the formula $$\text{cube root}(x) = x^{1/3}$$ or find a number that, when multiplied by itself three times, equals x.

The cube root of 27 is 3, since $$3 \times 3 \times 3 = 27$$ .

The value is -50.

$$2^5 = 2 \times 2 \times 2 \times 2 \times 2$$ .

The value is 79.

The number 64 is both a perfect square (8^2) and a perfect cube (4^3).

The value is 32.