Assume that m is rational.
Therefore, m can be written in the form p/q where p and q are positive integers with no common factor.
Hence, (m-1)^2 = (p/q -1)^2
= (p-q)^2 / q^2
= rational square no.
Assume that m is rational.
Therefore, m can be written in the form p/q where p and q are positive integers with no common factor.
Hence, (m-1)^2 = (p/q -1)^2
= (p-q)^2 / q^2
= rational square no.
But how is that relevant to answering the question?