prove that underroot n., n being not a perfect square, is not a rational no
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Step-by-step explanation: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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