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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-example-1
User Robsonsjre
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1 Answer

5 votes

With
√(-1)=i, we have


√(-24)=√((-1)(24))=√(-1)√(24)=i√(24)

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


i√(24)=i√(2^2\cdot6)=2i\sqrt6

User Nazbot
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