Prove that 1/2-√3 is not a rational number.
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As "r" is rational, so (r+√3) is also rational , and hence √5 is also rational, since (r+√3) is equal to √5. But, this contradicts our assumption since we know √5 is irrational number. Therefore, √5 - √3 is an irrational number. One picture is mentioned regarding how to prove that √5 is an irrational number
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