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\sqrt{\frac{10000}{625\times 16}}
Express \frac{\frac{10000}{625}}{16} as a single fraction.
\sqrt{\frac{10000}{10000}}
Multiply 625 and 16 to get 10000.
\sqrt{1}
Divide 10000 by 10000 to get 1.
1
Calculate the square root of 1 and get 1.