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6\sqrt{2}-3\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}.
3\sqrt{2}
Combine 6\sqrt{2} and -3\sqrt{2} to get 3\sqrt{2}.