Prove that √n is not a …
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Yogita Ingle 4 years, 3 months ago
If n is not a perfect square then is irrational
Let on the contrary say it is rational .
Then
where p and q are coprime integers.
so n =p2/q2
p2 =nq2
This shows p divides q
which is a contradiction.
Hence is irrational if n is not a perfect square.
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