sqrt36

sqrt36 refers to the square root of 36. The principal square root of 36 is 6, since 6 squared equals 36. In mathematics, the sqrt function returns the nonnegative root of a nonnegative number, so sqrt(36) = 6.

36 is a perfect square, as it can be written as 6^2. Its prime factorization is 2^2 × 3^2, and the square root can be computed by taking the square root of each factor: sqrt(36) = sqrt(2^2) × sqrt(3^2) = 2 × 3 = 6.

In the context of equations, the equation x^2 = 36 has two solutions: x = 6 and x = -6. However, the notation sqrt(36) typically denotes the principal, nonnegative root, which is 6.

Applications and related concepts include understanding perfect squares, the square root function, and radical notation. As a simple example, the square root of 36 illustrates how square roots convert a squared quantity back to its original length or measure.