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\frac{1}{2}\sqrt{122}+3\sqrt{2}+2\times 6\sqrt{2}
Factor 72=6^{2}\times 2. Rewrite the square root of the product \sqrt{6^{2}\times 2} as the product of square roots \sqrt{6^{2}}\sqrt{2}. Take the square root of 6^{2}.
\frac{1}{2}\sqrt{122}+3\sqrt{2}+12\sqrt{2}
Multiply 2 and 6 to get 12.
\frac{1}{2}\sqrt{122}+15\sqrt{2}
Combine 3\sqrt{2} and 12\sqrt{2} to get 15\sqrt{2}.