prove that 1/3 root 3 is irrational please please please please please please please please please please please please please please please please tell me.........
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1/3√3 = 1/3√3 × 3√3 / 3√3 = 3√3/27
or √3 / 9
If possible, let √3/9 be rational, then there exists Integers of the form p/q (q ≠ 0)
√3/9 = p/q
√3 = 9p/q
Since,
9p/q is rational and so √3 , but this contradicts the fact that √3 is irrational.
Therefore, 1/3√3 is irrational
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To prove:1/3√3 is irrational
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