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Why so complicated?
Temporarily shift the decimal point two places in your question and shift it back by one place in the answer.
I assume you know the square root of 2 is around 1.414?
So estimate the square root by starting a little lower.
14 squared is 196.
13 squared is 169.
You need a number between those two, call it 13.5.
Shift the decimal place back by one and a close guess is 1.35 (which when squared is 1.82).
Isn't that a close enough approximation?
Math is hard.
When you wanted to know deep learning immediately
:)) finally a good answer
This morning, I tried to abstract myself from my computer while trying to calculate sqrt(1.81).
I came up with what I thought to be a genius method. I tried to find B such as (1+B)^2=1.81. Then I ended up calculating the discriminant of 1+2B+B^2 and had 4*1.81. Sounded funny at first, but upon calculating the positive solution amongst the 2 possible ones, I ended up with (-2+2sqrt(1.81))/2 = ... sqrt(1.81)-1. Upon replacing in the initial equation, one gets (1+sqrt(1.81)-1)^2 = (sqrt(1.81))^2 = 1.81.
I'm sorry for having let you down, dear pasokon. Please forgive me.
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