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  • 22-08-2018
  • Mathematics
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How do I simplify -7√108

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jdoe0001 jdoe0001
  • 22-08-2018

[tex] \bf -7\sqrt{108}~~
\begin{cases}
108=2\cdot 2\cdot 3\cdot 3\cdot 3\\
\qquad 2^2\cdot 3\cdot 3^2\\
\qquad (2^2\cdot 3^2)\cdot 3\\
\qquad (6)^2\cdot 3
\end{cases}\implies -7\sqrt{6^2\cdot 3}
\\\\\\
-7\cdot 6\sqrt{3}\implies -42\sqrt{3} [/tex]

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