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Prove that 2+3√5 is irrational

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Prove that 2+3√5 is irrational

Posted by Sagar Verma 6 years, 7 months ago

CBSE > Class 10 > Mathematics

1 answers

Ayush Yadav 6 years, 7 months ago

Firt assume 2+3√5 is rational So 2+3√5=p/q (where p andq are co-prime) 2+3√5=p/q 3√5=p/q-2 3√5=5/q-2q/q √5=15/q-6q/q But this contradicts the fact √5 is irrational. 2+3√5 is rational Hence proved.

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