**Ramanujam's Proof???**

Today I got a mail saying "3=2! Ramanujam's Proof!.... Can U Find Any Flaws?".

The first and foremost flaw I found is that the proof was given Sri Ramanujam, the brilliant twentieth Century Indian mathematician. I couldnt find any supportive evidence for the claim itself.

Here is that mail:

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 ????????**The Flaw:**

If you have x=y, then x^2 is equal to y^2.

However, if you have x^2 = y^2 ,it doesn't mean that x=y.

Eg: x^2 = y^2 = 9, x= 3 & y=-3

The rule is,

x^2 = y^2 has two solutions: x=y and x=-y. Considering only one solution will not be suffice and will not give the complete and correct solution.

Thus, the blunder is **"Taking positive square root on both sides"**

Now even you feel that, person of such a high rank would never have given a absurd proof like this one!!

## Monday, June 19, 2006

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