STOP Making These Radical MATH Mistakes!

[@潘博宇-k4l]

E=[(65)^(1/2)-(13)^(1/2)-(5)^(1/2)+1]/4.

[@Usershima-c4v]

X=2√13-5
Y=9-4√5
√y=√5-2

[@DileepaSumathipala-go8sl]

Final answer can be simplified

[@Quest3669]

?= (√13-1)(√5-1)/4

[@Fjfurufjdfjd]

Μετα απο πραξεις εχω: χ=2(13)^(1/2)-5 και ψ=9-4(5)^(1/2).
(ψ)^(1/2)=(5)^(1/2)-2. Ε=(χ)^(1/3)×[(5)^(1/2)-2]^(1/3).
Ε=[(13)^(1/2)-1][(5)^(1/2)-1]/4.

[@gregevgeni1864]

x = 2√13 - 5, y = 9 -4√5, √y = √5 -2 =>
x√y = (2√13-5)(√5-2) =>
³√(x√y) = ³√((2√13-5)(√5-2))
³√(2√13-5) = (√13-1)/2
³√(√5-2) =(√5-1)/2 ...
³√x√y = (√13-1)(√5-1)/4