Monday, 17 April 2017

complex numbers - Is product of two square roots of two integers square root of their products?

Suppose
a,bZ.
Is it true
ab=ab.
If so, then 11=(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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