Python: Square Root Simplification
Introduction
The script SQFACTOR.py attempts to factor and simplify square root expressions in the form of either:
1. √n
2. √m + √n
The script was created using the TI-83 Plus Premium CE Python Edition, which is my first Python script using the French calculator.
Python script: sqfactor.py
from math import *
# basic code
def sqfactor(n):
c=1
k=2
while k**2<n:
while (n/k**2)-int(n/k**2)==0:
n/=k**2
c*=k
k+=1
return [c,n]
# 2 forms
print("Select: ")
print("1. sqrt(n)")
print("2. sqrt(m)+sqrt(n)")
ch=int(input())
if ch==1:
n=float(input("n? "))
l=sqfactor(n)
print("sqrt("+str(n)+")=")
print(str(l[0])+"*sqrt("+str(l[1])+")")
if ch==2:
m=float(input("m? "))
n=float(input("n? "))
l0=sqfactor(m)
l1=sqfactor(n)
c=l0[0]
d=l0[1]
r=l1[0]
s=l1[1]
print("sqrt("+str(m)+") + sqrt("+str(n)+")")
if d==s:
print(str(c+r)+"*sqrt("+str(d)+")")
else:
print(str(c)+"*sqrt("+str(d)+")+")
print(str(r)+"*sqrt("+str(s)+")")
Examples
Example 1:
√1640
Result: 2 * sqrt(410.0)
Example 2:
√56 + √78
Result: 2 * sqrt(14.0) + 1 * sqrt(78.0)
Example 3:
√75 + √27
Result: 8 * sqrt(3.0)
Eddie
All original content copyright, © 2011-2023. Edward Shore. Unauthorized use and/or unauthorized distribution for commercial purposes without express and written permission from the author is strictly prohibited. This blog entry may be distributed for noncommercial purposes, provided that full credit is given to the author.
