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Prove that (i) √5 - √3 …

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Prove that (i) √5 - √3 is an irrational number. (ii) √5 + √3 is an irrational number. Solve this ! Need help !

Posted by Nikhil Bbagchandani 4 years, 1 month ago

CBSE > Class 09 > Mathematics

1 answers

Bhavadhaarini M 4 years, 1 month ago

Let as assume on contrary that √3 + √5 is a rational number. Then there exists co - prime integers p and q such that ⇒ √3 is a rational number . But this contradicts the fact that √3 is irrational. So, our assumption is wrong. Hence, √3 + √5 is irrational.

3Thank You

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CBSE > Class 09 > Mathematics