Question

Smallest number which should be divided to 37845 so as to get a perfect square

Answer 1

Dear student
$$\begin{gathered} 37845=3\times 3\times 5\times 29\times 29 \\ \mathrm{Since}\mathrm{the}\mathrm{prime}\mathrm{factor}5\mathrm{does}\mathrm{not}\mathrm{occur}\mathrm{in}\mathrm{pairs}. \\ \mathrm{So},37845\mathrm{is}\mathrm{not}\mathrm{a}\mathrm{perfect}\mathrm{square}. \\ \mathrm{The}\mathrm{smallest}\mathrm{number}\mathrm{by}\mathrm{which}37845 \\ \mathrm{must}\mathrm{be}\mathrm{divided}\mathrm{to}\mathrm{obtain}\mathrm{a}\mathrm{perfect}\mathrm{square}=5 \end{gathered}$$
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