OFFSET
0,1
COMMENTS
Ramanujan's question 1070 (ii) asks for a proof of the identity
((32/5)^(1/5)-(27/5)^(1/5))^(1/3) = (1/25)^(1/5)+(3/25)^(1/5)-(9/25)^(1/5).
REFERENCES
S. Ramanujan, Coll. Papers, Chelsea, 1962, page 334, Question 1070
EXAMPLE
0.36450184121606803517626067446520737637319536517131414493623272802...
MATHEMATICA
RealDigits[Surd[Surd[32/5, 5]-Surd[27/5, 5], 3], 10, 120][[1]] (* Harvey P. Dale, Oct 08 2018 *)
PROG
(PARI) ((32/5)^(1/5)-(27/5)^(1/5))^(1/3)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Hugo Pfoertner, Aug 28 2018
STATUS
approved