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Show that 7√5 is irrational

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Show that 7√5 is irrational

Posted by Jaspreet Singh 5 years, 8 months ago

CBSE > Class 10 > English Language and Literature

1 answers

Tarushi Jaipuria 5 years, 8 months ago

ANSWER__ Let 7√5 be a rational number. So, 7√5 = p/q. (p and q are co-prime number and q ≠ 0) => √5 = p/7q As, we can see that p/7q ia rational so √5 should also be rational. But this contradict the fact that √5 is irrational. So, by this we can say that 7√5 is irrational number. Hope this helps.?

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