We know that,
\implies{1=\sqrt {1}}
\implies\sqrt {(-1)×(-1)}
\implies\sqrt {(-1)}×\sqrt {(-1)}
\implies{i×i}
\implies {i^2}
\implies\fbox {-1} [Proved]
Find the mistake
We know that,
\implies{1=\sqrt {1}}
\implies\sqrt {(-1)×(-1)}
\implies\sqrt {(-1)}×\sqrt {(-1)}
\implies{i×i}
\implies {i^2}
\implies\fbox {-1} [Proved]
Find the mistake
(\sqrt{-1})²
=\sqrt{(-1)²}
=\sqrt{1}
=1
Wrong. But half is correct
\fbox{Right answer.}