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  • 14-01-2019
  • Mathematics
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what is the answer of square root of -24 in complex numbers

what is the answer of square root of 24 in complex numbers class=

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LammettHash
LammettHash LammettHash
  • 14-01-2019

With [tex]\sqrt{-1}=i[/tex], we have

[tex]\sqrt{-24}=\sqrt{(-1)(24)}=\sqrt{-1}\sqrt{24}=i\sqrt{24}[/tex]

Since [tex]24=2^3\cdot3[/tex], we can further write this as

[tex]i\sqrt{24}=i\sqrt{2^2\cdot6}=2i\sqrt6[/tex]

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