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1 January, 00:59

Explain why 2 + √ 3 is an irrational number.

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  1. 1 January, 03:06
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    The number 2+√3 is irrational, it cannot be expressed as a ratio of integers a and b. To prove that this statement is true, let us Assume that it is rational and then prove it isn't (Contradiction).

    So the Assumptions states that:

    (1) 2+√3

    Where a and b are 2 integers

    Now since we want to disapprove our assumption in order to get our desired result, we must show that there are no such two integers.

    Squaring both sides give:

    3=a/b

    3=a^2 / b^2

    what two number time itself (twice) can be divide by another number time itself (twice) to get 3
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