(A) To find the square root of $211600$,we can write it as: $\sqrt{211600} = \sqrt{2116 \times 100}$.Since $\sqrt{100} = 10$,we need to find the squar

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(A) To find the square root of $211600$,we can write it as: $\sqrt{211600} = \sqrt{2116 \times 100}$.Since $\sqrt{100} = 10$,we need to find the square root of $2116$.By prime factorization of $2116$: $2116 = 2^2 \times 23^2$.Therefore,$\sqrt{2116} = 2 \times 23 = 46$.Thus,$\sqrt{211600} = 46 \times 10 = 460$.