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\sqrt{625\times 7}
Calculate 5 to the power of 4 and get 625.
\sqrt{4375}
Multiply 625 and 7 to get 4375.
25\sqrt{7}
Factor 4375=25^{2}\times 7. Rewrite the square root of the product \sqrt{25^{2}\times 7} as the product of square roots \sqrt{25^{2}}\sqrt{7}. Take the square root of 25^{2}.