Finding the better estimate of

There's no such thing as a "better" (or best) estimate of the square root of 2. This is an irrational number, i.e. it has infinitely many decimal digits, and they don't follow any patter.

So, the most you can do is approximate the number to an arbitrary number of decimal digits. For example, if you want 4 decimal digits, you have

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.

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step-by-step explanation:

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