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Prove that root 7/5 +4 is …

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Prove that root 7/5 +4 is an irrational

Posted by Namrata Das 6 years, 7 months ago

CBSE > Class 10 > Mathematics

1 answers

Manvi Tiwari 6 years, 7 months ago

Let a=√7/4+5 is a rational number. a×4+5=√7 Since a×4+5 is a rational number. But we know that,√7 is anirrational number. This contradicts due to our wrong supposition. Therefore,a=√7/4+5 is an irrational number. Hence prooved.

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CBSE > Class 10 > Mathematics