I was thinking on the following line of thoughts:
1=√1=√−1⋅−1=√−1⋅√−1=i2=−1
Of course this is not true, but I was wondering which step in this 'line of thoughts' is forbidden to make?
Thanks for the explanation.
Answer
√−1⋅−1 is not equal to √−1⋅√−1. The formula √ab=√a√b is only valid when both a,b are nonnegative real numbers.
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