GK Question- 36

The sulbasutras of ancient Indian Scholar “Baudhayan” have reached to a most correct value of which among the following?
[D]all of them

Explanation: We have already studied the basics about the sulbasutras in our History Modules. The next thing you have to note is that Sulbasutras of Baudhayan contain the geometric solutions and NOT the algebric ones as far as the linear equations are concerned. There are several values of π in Sulbasutras of Baudhayan. There are several values of π derived in Baudhayan’s sulbasutras such as 3.004, 3.114, 3.202, out of which none is particularly accurate. But as fast as values of √2 are concerned, Baudhayan is excellent. The meaning of the Sanskrit shloka in which he talks about the √2 translates as follows:
√2= 1+1/3+1/(3×4)-1/3(3x4x34)=577/408
The value is 1.41421568627451
The value of √2= 1.414213562373095
We see that the value of √2 given by Baudhayan is correct up to 5 decimal places. He it makes an interesting thing to know as even the half of the above translation as √2= 1+1/3+1/(3×4) would have given a value of 1.416, which is correct up to 2 decimal points. The real knowledge of baudhayan reflects in the later part of the shloka where he reduced the 1/3(3x4x34) from this and reaches at a real correct value. Isn’t it interesting?