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An attempt to calculate the exact value of the square root of 2 is done on this paper. To get this infinitely exact value, A new concept is suggested that the accumulations of the infinitely many of finite is implied by the change in direction. The change in direction means that there is a jump from finite to infinity .From this jump, Any decimal number only have meanings within a finite range values and the infinite number with a decimal point is meaningless. However, there is only an infinite integer quantity that cannot be implemented by algorithms like operations of division, addition, multiplication and subtraction .The change in direction indicated that there are two quantity where the first quantity and the second quantity never intersect and extend in parallel line and the magnitude of the first quantity can be represented by never intersect of the two quantities. The first quantity is the exact value of the square root of 2 and it is the infinitely great that you can't talk about anything outside of it and can compress any quantities outside of it to nothing.
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