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Which expression is equal to 2−32−−−−√ ?

AngelRay  Dec 21, 2017

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\(2\sqrt{-32} \\~\\ =2\cdot\sqrt{16\cdot2\cdot -1} \\~\\ =2\cdot\sqrt{16}\cdot\sqrt2\cdot\sqrt{-1} \\~\\ =2\cdot4\cdot\sqrt2\cdot i \\~\\ =8i\sqrt2\)

hectictar  Dec 21, 2017
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 #1
avatar+5931 
+1
Best Answer

\(2\sqrt{-32} \\~\\ =2\cdot\sqrt{16\cdot2\cdot -1} \\~\\ =2\cdot\sqrt{16}\cdot\sqrt2\cdot\sqrt{-1} \\~\\ =2\cdot4\cdot\sqrt2\cdot i \\~\\ =8i\sqrt2\)

hectictar  Dec 21, 2017

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