- #1
murshid_islam
- 457
- 19
what's wrong with the following proof:
[tex]i = \sqrt\left(-1\right)[/tex]
[tex]i.i = \sqrt{\left(-1\right)}.\sqrt{\left(-1\right)}[/tex]
[tex]i^2 = \sqrt\left(-1\right).\left(-1\right)[/tex]
[tex]i^2 = \sqrt 1[/tex]
[tex]i^2 = 1[/tex]
but we know that i2 = -1
[tex]i = \sqrt\left(-1\right)[/tex]
[tex]i.i = \sqrt{\left(-1\right)}.\sqrt{\left(-1\right)}[/tex]
[tex]i^2 = \sqrt\left(-1\right).\left(-1\right)[/tex]
[tex]i^2 = \sqrt 1[/tex]
[tex]i^2 = 1[/tex]
but we know that i2 = -1
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