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Express \[\sqrt{-72}\]
-8.48528...
\[A. 6\sqrt{-2} \] B. 72i C. \[6i \sqrt{2}\] D. \[\sqrt{-72i}\]
\[\sqrt{-72}=\sqrt{-2\times6^{2}}\]\[=6\sqrt{-2}\]\[=6\sqrt{-1\times2}\]\[=6\sqrt{2}\sqrt{-1}\] But \[\sqrt{-1}\]is given the symbol i. so \[\sqrt{-72}=6\sqrt{2}i\]
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