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ORShow that 7- v5 is irrational, give that V5 is irrationalnf the AP 3813253

Answer»

Let , 7-root5 is a rational no. is equals to r, where r is a rational no.So,7-root 5 = r 7-r = root 5.Now,LHS is a rational but RHS is an irrational.So, our assumption was wrong; 7-root5 is not a rational no. Therefore, 7-root5 is a irrational no. Hence, proved.

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