OS X (Apple)

#!/bin/ksh
# ksh_math.sh
# Basic Math extensions.

# CONSTANTS.
PI=3.14159265358979323
e=2.71828182845904523

# NTH ROOT of a positive floating point number.
# Called as:
# NthRoot NUMBER NTHROOT PRECISION
# ALL POSITIVE VALUES.
# NUMBER and NTHROOT can be floating point, PRECISION is an integer from 1 to 16.
# Returns NTHROOT as a variable.
NthRoot()
{
	NUMBER=$1
	NTHROOT=$2
	PRECISION=$3
	if [ "$PRECISION" = "" ] || [ $PRECISION -lt 1 ]
	then
		PRECISION=5
	fi
	NTHROOT=$( printf "%.${PRECISION}f" "$(( ${NUMBER}**(1.0/${NTHROOT}) ))" )
}

# SQUARE ROOT of a positive floating point number.
# Called as:
# Sqrt NUMBER PRECISION
# ALL POSITIVE VALUES.
# NUMBER can be floating point, PRECISION is an integer from 1 to 16.
# Returns SQRT as a variable.
Sqrt()
{
	NUMBER=$1
	NTHROOT=2.0
	PRECISION=$2
	NthRoot $NUMBER $NTHROOT $PRECISION
	SQRT=$NTHROOT
}

Sqrt 813.7173 10
echo ""
echo "Floating Point Square Root:"
echo "KSH93 FP maths routines = $SQRT."
echo "From Google calculator = 28.5257304902."
echo ""
echo "Floating Point Number And Nth Root:"
NthRoot 10.5 12.3 11
echo "KSH93 FP maths routines = $NTHROOT."
echo "From Google calculator = 1.21066369814."
echo ""

Last login: Mon Oct 15 16:59:39 on ttys000
AMIGA:amiga~> cd Desktop/Code/Shell
AMIGA:amiga~/Desktop/Code/Shell> ./ksh_math.sh

Floating Point Square Root:
KSH93 FP maths routines = 28.5257304902.
From Google calculator = 28.5257304902.

Floating Point Number And Nth Root:
KSH93 FP maths routines = 1.21066369814.
From Google calculator = 1.21066369814.

AMIGA:amiga~/Desktop/Code/Shell> _