√5 - 2√2 = - 0.59235914724
but I need in fraction
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Geometrically, the square root of 2 is the length of a diagonal across a square with sides of one unit of length;[1] this follows from the Pythagorean theorem. It was probably the first number known to be irrational.[2] The fraction
99
/
70
(≈ 1.4142857) is sometimes used as a good rational approximation with a reasonably small denominator.
Sequence A002193 in the On-Line Encyclopedia of Integer Sequences consists of the digits in the decimal expansion of the square root of 2, here truncated to 65 decimal places:[3]
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Answer:
-59235914724/100000000000
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