: Prove that V3 is irrational.
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Since both q and r are odd, we can write q=2m−1 and r=2n−1 for some m,n∈N. ... Therefore there exists no rational number r such that r2=3. Hence the root of 3 is an irrational number.
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since both q and r odd,we can write Q=2m-1 and r=2n-1 for some m,nen....therefore there exists no rational number such that R2=3.Hence the root of 3 ia an irrational numbers
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