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\sqrt{25+25^{2}}
Calculate 5 to the power of 2 and get 25.
\sqrt{25+625}
Calculate 25 to the power of 2 and get 625.
\sqrt{650}
Add 25 and 625 to get 650.
5\sqrt{26}
Factor 650=5^{2}\times 26. Rewrite the square root of the product \sqrt{5^{2}\times 26} as the product of square roots \sqrt{5^{2}}\sqrt{26}. Take the square root of 5^{2}.