Let q belong to Q, and a belong to R\Q. Prove q+a is irrational so you let q = m/n Not sure how to go about solving this, thanks
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Originally Posted by glover_m Let q belong to Q, and a belong to R\Q. Prove q+a is irrational so you let q = m/n Not sure how to go about solving this, thanks You can use contradiction : suppose q +a is rational ====> q+a=x/y where x,y are integers ,but also q is rational so q=z/w ,where again z,w are integers ,hence: ..............a= x/y -z/w a rational ,thus contradiction
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