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Use euclids division lemma to show that the square of any poistive integer is of the form 3p. ,3p+1 |
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Answer» LET US take, 'X'= 3q , 3q+1, 3q+2 when, x=3q x2 = (3q) 2 x2 = 9q2 x2 = 3(3q2) we see that 3q2= m so we have done the first equation 3m when , x=3q+1 x2= (3q+1)2 [since, (a+b)2 = a2+2ab+b2] x2= 9q+6q+1 x2= 3(3q+2q)+1 in this we see that 3q+2q= m THEREFORE, this SATISFY the equation m+1 |
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