Prove that ((3 + 2(5)^(1/4)/(3 - 2(5)^(1/4))^(1/4) = (5^(1/4)+1)/(5^(1/4) - 1)

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Prove that ((3 + 2(5)^(1/4)/(3 - 2(5)^(1/4))^(1/4) = (5^(1/4)+1)/(5^(1/4) - 1) #algebra #radicales #cipher
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Nice
Ramanujan identity
it is also equal to
(1/2) { 3+5^(1/4)+√5 +2(125)^(1/4 }

another famous identity of Ramanujan is
cube root of (cube root 2-1)
= cube root (1/9) - cube root (2/9)+ cube root (4/9)

raghvendrasingh