A square sheet is formed by joining n identical square sheets of same size. If the length of the diagonal of the bigger square sheet so formed is m, then what is the side length of a smaller square sheet?

1
\(\frac{{\rm{m}}}{{\sqrt {\rm{n}} }}\)
2
\(\frac{{\rm{m}}}{{2\sqrt {\rm{n}} }}\)
3
\(\frac{{\rm{m}}}{{\sqrt {{\rm{2n}}} }}\)
4
\(\frac{{\sqrt 2 {\rm{m}}}}{{\sqrt {\rm{n}} }}\)

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