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Fofino [41]
3 years ago
10

What is the answer of square root of -24 in complex numbers

Mathematics
1 answer:
Sergio039 [100]3 years ago
3 0

With \sqrt{-1}=i, we have

\sqrt{-24}=\sqrt{(-1)(24)}=\sqrt{-1}\sqrt{24}=i\sqrt{24}

Since 24=2^3\cdot3, we can further write this as

i\sqrt{24}=i\sqrt{2^2\cdot6}=2i\sqrt6

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