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\sqrt{25+4^{2}+7^{2}}
Calculate 5 to the power of 2 and get 25.
\sqrt{25+16+7^{2}}
Calculate 4 to the power of 2 and get 16.
\sqrt{41+7^{2}}
Add 25 and 16 to get 41.
\sqrt{41+49}
Calculate 7 to the power of 2 and get 49.
\sqrt{90}
Add 41 and 49 to get 90.
3\sqrt{10}
Factor 90=3^{2}\times 10. Rewrite the square root of the product \sqrt{3^{2}\times 10} as the product of square roots \sqrt{3^{2}}\sqrt{10}. Take the square root of 3^{2}.