# routine sqrt

Documentation for routine `sqrt`

assembled from the following types:

# class Complex

From Complex

## (Complex) method sqrt

Defined as:

method sqrt(Complex: --> Complex)

Returns the complex square root of the invocant, i.e. the root where the real part is ≥ 0 and the imaginary part has the same sign as the imaginary part of the invocant.

say (3-4i).sqrt; # OUTPUT: «2-1i»say (-3+4i).sqrt; # OUTPUT: «1+2i»

# class Numeric

From Numeric

## (Numeric) routine sqrt

multi sub sqrt(Numeric --> Numeric)multi method sqrt(Numeric --> Numeric)

Returns a square root of the number. For real numbers the positive square root is returned.

On negative real numbers, `sqrt`

returns `NaN`

rather than a complex number, in order to not confuse people who are not familiar with complex arithmetic. If you want to calculate complex square roots, coerce to `Complex`

first, or use the `roots`

method.

# class Cool

From Cool

## (Cool) routine sqrt

Defined as:

sub sqrt(Numeric(Cool) )method sqrt()

Coerces the invocant to Numeric (or in the sub form, the argument) and returns the square root, that is, a non-negative number that, when multiplied with itself, produces the original number.

say 4.sqrt; # OUTPUT: «2»say sqrt(2); # OUTPUT: «1.4142135623731»