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\sqrt{5^{2}+2}
Add 2 and 3 to get 5.
\sqrt{25+2}
Calculate 5 to the power of 2 and get 25.
\sqrt{27}
Add 25 and 2 to get 27.
3\sqrt{3}
Factor 27=3^{2}\times 3. Rewrite the square root of the product \sqrt{3^{2}\times 3} as the product of square roots \sqrt{3^{2}}\sqrt{3}. Take the square root of 3^{2}.