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\frac{\sqrt{10}}{\sqrt{25}\sqrt{25}\sqrt{4}}
Factor 100=25\times 4. Rewrite the square root of the product \sqrt{25\times 4} as the product of square roots \sqrt{25}\sqrt{4}.
\frac{\sqrt{10}}{25\sqrt{4}}
Multiply \sqrt{25} and \sqrt{25} to get 25.
\frac{\sqrt{10}}{25\times 2}
Calculate the square root of 4 and get 2.
\frac{\sqrt{10}}{50}
Multiply 25 and 2 to get 50.