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\sqrt{\frac{4}{25}\times 100}
Calculate 10 to the power of 2 and get 100.
\sqrt{\frac{4\times 100}{25}}
Express \frac{4}{25}\times 100 as a single fraction.
\sqrt{\frac{400}{25}}
Multiply 4 and 100 to get 400.
\sqrt{16}
Divide 400 by 25 to get 16.
4
Calculate the square root of 16 and get 4.