bleuspectre
  • bleuspectre
Simplify square root of negative 72. negative 6 square root of 2 6 square root of negative 2 6 square root of 2 i 6 i square root of 2
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
\[\sqrt{-72} = \sqrt{-1}\sqrt{72} \qquad i=\sqrt{-1} \]
anonymous
  • anonymous
so what are the factors of 72?
anonymous
  • anonymous
\[\sqrt{-72}\] This is the same as i\[\sqrt{72}\] 72 is not a perfect square root.|dw:1444365266356:dw| i\[\sqrt{3*3*2*2*2}\]

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anonymous
  • anonymous
\[\sqrt{-1}\sqrt{\color{red}{3 \cdot 3} \color{blue}{\cdot 2\cdot 2\cdot 2}}\]
anonymous
  • anonymous
for every set of 2 of the same numbers, 1 comes out of the square root.
anonymous
  • anonymous
\[\sqrt{3\cdot 3\cdot2\cdot 2\cdot 2} = 3\cdot 2\sqrt{2} = 6\sqrt{2}\]
anonymous
  • anonymous
and \(i=\sqrt{-1}\)
bleuspectre
  • bleuspectre
would an I go after the 2?
bleuspectre
  • bleuspectre
Like\[6\sqrt{2}i\]
anonymous
  • anonymous
yep.
bleuspectre
  • bleuspectre
Thank you so much!!!
anonymous
  • anonymous
np.

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