A Maths mystery From Srinivasa Ramanujan's Dairy

Dear Readers,
So many Days back I have a mail From my friend. The Content is as follows. is this Possible. if you find any mistake mail me @ srinivasarao.thanga@gmail.com

Subject: Can u prove 3 = 2 ...??
Date: Sun, 14 May 2006 10:00:43 -0700 (PDT)

Ramanujam's proof!!.... can u find any flaws??



Can U Prove 3=2??

This seems to be an anomaly or whatever u call in mathematics.

It seems, Ramanujam found it but never disclosed it during his life time
and that it has been found from his dairy.

See this illustration:

-6 = -6

9-15 = 4-10

adding 25/4 to both sides:

9-15+25/4 = 4-10+25/4

Changing the order

9+25/4-15 = 4+25/4-10

(this is just like a square + b square - two a b = (a-b)square.)

Here a = 3, b=5/2 for L.H.S and a =2, b=5/2 for R.H.S.

So it can be expressed as follows:

(3-5/2)(3-5/2) = (2-5/2)(2-5/2)

Taking positive square root on both sides:

3 - 5/2 = 2 - 5/2

3 = 2 ????????