find the least 4 digit number which is a perfect square

At first, we will find the square root of 1000 by long division method.

$\mathrm{Now},\mathrm{we}\mathrm{see}\mathrm{that},\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}{\left(31\right)}^{2}1000{\left(32\right)}^{2}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\mathrm{Hence},\mathrm{the}\mathrm{least}4\mathrm{digit}\mathrm{number}\mathrm{that}\mathrm{is}\mathrm{a}\mathrm{perfect}\mathrm{square}={\left(32\right)}^{2}=1024$

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