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| 1. |
Prove that 2+3√5 is irrational |
| Answer» Firt assume 2+3√5 is rationalSo 2+3√5=p/q (where p andq are co-prime)2+3√5=p/q 3√5=p/q-23√5=5/q-2q/q√5=15/q-6q/qBut this contradicts the fact √5 is irrational.2+3√5 is rational Hence proved. | |