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\sqrt{36+12^{2}}
Calculate 6 to the power of 2 and get 36.
\sqrt{36+144}
Calculate 12 to the power of 2 and get 144.
\sqrt{180}
Add 36 and 144 to get 180.
6\sqrt{5}
Factor 180=6^{2}\times 5. Rewrite the square root of the product \sqrt{6^{2}\times 5} as the product of square roots \sqrt{6^{2}}\sqrt{5}. Take the square root of 6^{2}.