Prove that square root of 'n' is not a rational number if 'n' is not a perfect square.
Asked by | 19th Apr, 2011, 11:56: PM
If n is not a perfect square then is irrational
Let on the contrary say it is rational .
where p and q are coprime integers.
so n =p2/q2
This shows p divides q
which is a contradiction.
Hence is irrational if n is not a perfect square.
Answered by | 20th Apr, 2011, 11:13: AM
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