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Prove that 3+2root2 is irrational |
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Answer» Answer: Let it be a rational no. i.e. p/q where p and q are co PRIMES and q is not equal to zero. 3+2root2=p/q 2root2=p/q-3 2root2=p-3q/q root2=p-3q/2q But ROOT 2 is IRRATIONAL and p-3q/2q is rational. This means irrational no. =rational no. which is NEVER possible. Thus,it is a contradiction. Our supposition is wrong. Hence,3+2root2 is irrational no. |
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