Question

prove that 3a is irrational ,if a is an irrational . please dont solve if u dont know

Answer 1

let us assume that 3a is rational and is of form p/q  (where q is not = 0)
p and q are co-prime.
so,3a=p/q
       a=p/3q
we know that a is irrational as it is given in the question.
this contradicts our assumption
therefore , 3a is irrational
hence proved.
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