I got a question in my textbook that was to simplify the expression: $6\sqrt{162c^7d^5}$, and the answer says it is $54c^3d^2\sqrt{2cd}$, but I'm not sure how this happened as $5^2\cdot162$ doesn't equal $54^2\cdot2$. ($c$ and $d$ are positive real numbers.) Thanks!
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This is because $6^2\cdot 162=54^2\cdot 2$. (Your $5$ should be $6$.)
pi66
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Ah okay, thanks so much! – Kiwi Aug 27 '16 at 06:28
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You're welcome! – pi66 Aug 27 '16 at 06:29