√ (square root)

The square root operator.

Syntax

For a non-negative real number x, √x is the unique non-negative real number whose square is x.
For a complex number z, √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, √A is the unique positive semidefinite matrix whose square is A.
√ 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)