Thread: Nested Radicals
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Old 2019-11-08, 22:31   #1
MattcAnderson
 
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"Matthew Anderson"
Dec 2010
Oregon, USA

60010 Posts
Smile Nested Radicals

Hi again,

Wrote down (again) a nifty bit of mathematical trivia.

Let
sqrt(b+sqrt(c)) = sqrt(f)+sqrt(g)
and f<g
then
f = (b-sqrt(b^2-c))/2
and
g = (b+sqrt(b^2-c))/2.

I worked it out and checked with an example.
link1
link2

cheers
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