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\sqrt{125\times 2^{4}}
Calculate 5 to the power of 3 and get 125.
\sqrt{125\times 16}
Calculate 2 to the power of 4 and get 16.
\sqrt{2000}
Multiply 125 and 16 to get 2000.
20\sqrt{5}
Factor 2000=20^{2}\times 5. Rewrite the square root of the product \sqrt{20^{2}\times 5} as the product of square roots \sqrt{20^{2}}\sqrt{5}. Take the square root of 20^{2}.