Suppose
a,b∈Z.
Is it true
√a√b=√ab.
If so, then √−1√−1=√(−1)(−1)=√1=1
But we know √−1=i and so i2=−1.
Finally we get i2=−1=1.
Which is not true.
What is the logic behind it?
Thank you in advance.
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