√(5+√3) ≈ 2.5946 ...
other than that, I can't think of a simpler algebraic expression.
how do i simplify
sqrt[5+ssqrt(3)]
7 answers
can these help us ?
√a+√b?
√a+√b?
not sure what you're getting at
You can play around with ideas like
√(4 + 2√3) = √(1 + 2√3 + 3) = √(1 + √3)^2 = 1+√3
You can play around with ideas like
√(4 + 2√3) = √(1 + 2√3 + 3) = √(1 + √3)^2 = 1+√3
like
√a+√b=√[(a+b)+2√ab)]
√a+√b=√[(a+b)+2√ab)]
also true. I don't see that working here, however.
actually this is the actually question
2√[5+√3)]/(3√5-√3)
2√[5+√3)]/(3√5-√3)
Still messy. You sure it wasn't just
2(√5+√3)/(3(√5-√3)) = 2/3 (√5+√3)^2 / (5-3) = (8+2√15)/3
or something?
2(√5+√3)/(3(√5-√3)) = 2/3 (√5+√3)^2 / (5-3) = (8+2√15)/3
or something?