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Prove that Root3 + root5 is …

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Prove that Root3 + root5 is irrational

Posted by Saviti Saviti 4 years, 4 months ago

CBSE > Class 10 > Mathematics

2 answers

Payal Kansyakar 4 years, 4 months ago

Let the possible root 3+root5 are rational in the form of p by q and q not equal to 0 Root 3+root5=p/q

0Thank You

Kanishka Sree Muthusamy 4 years, 4 months 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.

2Thank You

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CBSE > Class 10 > Mathematics