Explain that odd positive integer to be a perfect square, Mathematics

Show that for odd positive integer to be a perfect square, it should be of the form

8k +1. Let a=2m+1

Ans: Squaring both sides we get a2 = 4m (m +1) + 1

∴ product of two consecutive numbers is always even

m(m+1)=2k

a2=4(2k)+1 a2   = 8 k + 1

Hence proved

Posted Date: 4/8/2013 1:09:24 AM | Location : United States







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