Question

prove that this is a rational number r
$\sqrt{5 - \sqrt{3} }$
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Answer 1

Answer:

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.