sqrt

The square root function.

Syntax

For a non-negative real number x, sqrt(x) is the unique non-negative real number whose square is x.
For a complex number z, sqrt(z) is the square root of z given by z^(1/2) = exp(½ ln(z)). This definition is also used for negative real numbers.
For a positive semidefinite square matrix A, sqrt(A) is the unique positive semidefinite matrix whose square is A.
sqrt is not defined for matrices that are not square and positive semidefinite.

The prefix operator √ is mapped to the sqrt function.

√50

7.07106781187	(=5⋅√2)

√−4

2⋅i

√i

0.707106781187 + 0.707106781187⋅i

√❨❨6, 1, 2❩, ❨1, 1, 2❩, ❨2, 2, 9❩❩

⎛2.41100672391  0.254228867907 0.349877492821⎞
⎜0.254228867907 0.82270189839  0.508457735814⎟
⎝0.349877492821 0.508457735814 2.93582296314 ⎠

ans^2

⎛6 1 2⎞
⎜1 1 2⎟
⎝2 2 9⎠

SequenceVector(5) @ prime @ sqrt

(1.41421356237, 1.73205080757, 2.2360679775, 2.64575131106, 3.31662479036)