mackenziepatten mackenziepatten
  • 10-08-2017
  • Mathematics
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Simplify this using the imaginary i

Simplify this using the imaginary i class=

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oligodendrocyte
oligodendrocyte oligodendrocyte
  • 10-08-2017
200=25*8, 25=5^2, therefore, the answer is 5iroot8( the second one)
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jdoe0001 jdoe0001
  • 10-08-2017
[tex]\bf \sqrt{-200}\implies \sqrt{-1\cdot 200}\implies \sqrt{-1}\cdot \sqrt{200}\quad \begin{cases} \sqrt{-1}=i\\ 200=5\cdot 5\cdot 8\\ \qquad 5^2\cdot 8 \end{cases} \\\\\\ i\sqrt{5^2\cdot 8}\implies i\cdot 5\sqrt{8}\implies 5i\sqrt{8}\\\\ -------------------------------\\\\ \textit{by the way }8=2^2\cdot 2\qquad 5i\sqrt{2^2\cdot 2}\implies 5i\cdot 2\sqrt{2}\implies \boxed{10i\sqrt{2}}[/tex]
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