Hi
var('a,b,z')
assume(z,'complex')
assume(a,'real') ;assume(b,'real')
f(a,b,r)=(a^2 + b^2 - sqrt(a^2 + b^2 - r^2) * sqrt(a^2 + b^2) * sqrt((a^2 + b^2 - r^2) / (a^2 + b^2))) / (a - I*b)
show(f)
show(f.simplify_full())
SInce there are sqrt's in your expression, you may try canonicalize_radical():
sage: f
(a, b, r) |--> (a^2 + b^2 - sqrt(a^2 + b^2 - r^2)*sqrt(a^2 + b^2)*sqrt((a^2 + b^2 - r^2)/(a^2 + b^2)))/(a - I*b)
sage: f.canonicalize_radical()
(a, b, r) |--> r^2/(a - I*b)
thank you @eric_g, I did not know that function.
Asked: 2020-07-13 14:08:17 +0100
Seen: 350 times
Last updated: Jul 14 '20
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