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\sqrt{81+3^{2}}
Calculate 9 to the power of 2 and get 81.
\sqrt{81+9}
Calculate 3 to the power of 2 and get 9.
\sqrt{90}
Add 81 and 9 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}.