Math, asked by VedanshSomani, 1 year ago

What is the smallest value of n greater than one such that square root of the sum of all natural numbers upto n is a positive integer

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Answered by sprao534
0

please see the attachment

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VedanshSomani: Y did trial and error method but I need the process
sprao534: let √n(n+1)/2=k. squareing both sides and cross multiply,we get n^2+n-k^2=0.there fire n=(-1+√1+8k^2)/2.lf n is least positive integer k should be 6. so n=(-1+17)
sprao534: n=(-1+17)/2=8
sprao534: see the correction please.
VedanshSomani: Couldn't understand the second comment. I will ask the question again then plz reply to it
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