I’m exploring if it’s possible to create a function in GeoGebra that would take an integer as input and create a simplified radical as output. For instance, it would take $$20$$ as input and return $$2\sqrt{5}$$ as output. I don’t know a way, so if someone does, please tell me. (Edit: There is the SurdText command, which does exactly what I want. I still wish there was a way to create one’s own commands for use in GeoGebra textboxes… I’ll explore the CAS.)

In the meantime, I wrote the function for formatting the output in Python:

from math import floor
nabs = abs(n)
trial = floor(nabs**0.5)
coeff = 1
while trial > 1:
if n % (trial**2) == 0:
coeff = trial
trial = 0
trial -= 1
remainder = nabs // coeff**2
return coeff, remainder

if not(isinstance(n, int)):
return "Input must be an integer"
elif n == 0 or n == 1:
return str(n)
else:
return returnstring