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15 October, 18:08

Is the square root of 3 a rational number

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  1. 15 October, 19:13
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    A rational number is any number that can be expressed as a/b, where a and b are integers. Setting a/b equal to the square root of three and squaring, we have:

    a^2/b^2=3

    a^2=3b^2

    However, because 3 is not a square number, three times a square cannot be another square. So, there are no such a and b, and thus we have proven that the square root of three is not a rational number.
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