√ (square root)
The square root operator.
Syntax

√x

x
is a number or a matrix

Description

For a nonnegative real number
x
,√x
is the unique nonnegative real number whose square isx
. 
For a complex number
z
,√z
is the square root ofz
given byz^(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 isA
. 
√
is not defined for matrices that are not square and positive semidefinite.
Notes
The prefix operator √
is mapped to the sqrt
function.
Examples
√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)