Square Root and Cube Root

The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3 because $$3 \times 3 = 9$$ .

The cube root of a number is a value that, when multiplied by itself three times, gives the original number. For example, the cube root of 27 is 3 because $$3 \times 3 \times 3 = 27$$ .

Taking the square root is the inverse of squaring a number. For example, if $$x^2 = 16$$ , then $$\text{sqrt}(16) = 4$$ .

The possible answers are positive and negative. For example, the square root of 25 is 5 and -5 because $$5^2 = 25$$ and $$(-5)^2 = 25$$ .

The square root of 0 is 0 because $$0 \times 0 = 0$$ .

The square root of a negative number is not a real number; it is an imaginary number. For example, $$\text{sqrt}(-1) = i$$ , where i is the imaginary unit.

The square root of a number can be expressed as an exponent. For example, $$\text{sqrt}(x) = x^{1/2}$$ .

The cube of a number is that number multiplied by itself twice. For example, the cube of 2 is $$2 \times 2 \times 2 = 8$$ .

To simplify the square root of a perfect square, find the number that, when squared, equals the original number. For example, $$\text{sqrt}(36) = 6$$ .

The value of $$\text{sqrt}(16)$$ is 4.