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\sqrt{400+30^{2}}
Calculate 20 to the power of 2 and get 400.
\sqrt{400+900}
Calculate 30 to the power of 2 and get 900.
\sqrt{1300}
Add 400 and 900 to get 1300.
10\sqrt{13}
Factor 1300=10^{2}\times 13. Rewrite the square root of the product \sqrt{10^{2}\times 13} as the product of square roots \sqrt{10^{2}}\sqrt{13}. Take the square root of 10^{2}.