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\sqrt{400+5^{2}}
Calculate 20 to the power of 2 and get 400.
\sqrt{400+25}
Calculate 5 to the power of 2 and get 25.
\sqrt{425}
Add 400 and 25 to get 425.
5\sqrt{17}
Factor 425=5^{2}\times 17. Rewrite the square root of the product \sqrt{5^{2}\times 17} as the product of square roots \sqrt{5^{2}}\sqrt{17}. Take the square root of 5^{2}.