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0\times \frac{6\sqrt{2}}{9}
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}.
0\times \frac{2}{3}\sqrt{2}
Divide 6\sqrt{2} by 9 to get \frac{2}{3}\sqrt{2}.
0\sqrt{2}
Multiply 0 and \frac{2}{3} to get 0.
0
Anything times zero gives zero.