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OpenStudy (anonymous):
Why does √6 x √3 equal 3√2?
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geerky42 (geerky42):
\[\sqrt{6}\sqrt{3} \\= \sqrt{3\cdot2}\sqrt{3} \\= \sqrt{3\cdot 2 \cdot 3} \\ = \sqrt{3^2 \cdot 2} \\= \sqrt{3^2}\sqrt{2} \\= \boxed{3\sqrt{2}}\]
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