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\sqrt{400-5^{3}}
Calculate 20 to the power of 2 and get 400.
\sqrt{400-125}
Calculate 5 to the power of 3 and get 125.
\sqrt{275}
Subtract 125 from 400 to get 275.
5\sqrt{11}
Factor 275=5^{2}\times 11. Rewrite the square root of the product \sqrt{5^{2}\times 11} as the product of square roots \sqrt{5^{2}}\sqrt{11}. Take the square root of 5^{2}.