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\sqrt{1600-30^{2}}
Calculate 40 to the power of 2 and get 1600.
\sqrt{1600-900}
Calculate 30 to the power of 2 and get 900.
\sqrt{700}
Subtract 900 from 1600 to get 700.
10\sqrt{7}
Factor 700=10^{2}\times 7. Rewrite the square root of the product \sqrt{10^{2}\times 7} as the product of square roots \sqrt{10^{2}}\sqrt{7}. Take the square root of 10^{2}.