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\sqrt{160000+600-900}
Calculate 400 to the power of 2 and get 160000.
\sqrt{160600-900}
Add 160000 and 600 to get 160600.
\sqrt{159700}
Subtract 900 from 160600 to get 159700.
10\sqrt{1597}
Factor 159700=10^{2}\times 1597. Rewrite the square root of the product \sqrt{10^{2}\times 1597} as the product of square roots \sqrt{10^{2}}\sqrt{1597}. Take the square root of 10^{2}.