prove that 5-3√2 is an irrational
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Let, us assume that is a rational number.
Such that, where p and q are co-primes.
Rearranging the equation, we get :-
Since, p and q are co-primes, we get is rational number and is rational number.
But,
this contradicts the fact that is irrational
This Contradiction has arisen because of our incorrect assumption that is rational.
So, we conclude that is irrational.
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