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Can You Show That The Sum Of An Irrational And A Rational Number Is Always An Irrational Number?
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Let `a` be a rational number and `b` be an irrational number,assume that the sum is rational.
1.a +b =c
where a and c are rational and c is irrational.
2.b=c-a
subtracting the same number a from each side.
3.b is irrational c-a is a rational number we arrived at a contradiction .
So thesum is an irrational number
answered 2 years ago
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