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Can someone please tell me why (√-1)² equals to -1 , since (√-1)² equals to √-1 × √-1 = √1 I just can't understand ​

Can someone please tell me why (√-1)² equals to -1 , since (√-1)² equals to √-1 × √-1 = √1 I just can't understand ​
asked 201k views
5 votes
Can someone please tell me why (√-1)² equals to -1 , since (√-1)² equals to √-1 × √-1 = √1

I just can't understand ​

asked
User JGrindal
by
7.7k points

1 Answer

4 votes

The rule
√(ab)=√(a)√(b) does not always hold when extending the square root function to
\mathbb{C}.

answered
User DeadWarlock
by
7.7k points
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