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Prove that 3+2√7 is irrational |
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Answer» 3+2root7 = a/b,2root7 = -3a/b,root7 = -3ab/2b.Where L.H.S is irrational and R.H.S is rational .Therefore our assumation is wrong .Hence proved Let us assume that 3+2root7 is rational 3+2root7 = a/b ( where a and b are co -prime numbersb not equal to 0 ) 3+2root7 = a/b 2root7 = -3a/b root7 = -3ab/2bwhere L.H.S is irrational and R.H.S is rational Therefore our assumation is wrong Hence ,proved. |
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