# The Simple Theorem of Numbers

### The Simple Theorem of Numbers

This is a simple proof that each real number undergoing a normal operation is equal to a real number.

$\sqrt{-1} = \sqrt{-(1)} = \sqrt{-(\sqrt{1})^{2}}$

Since,

$\sqrt{x^{y}} = \sqrt{x}^{y}$

Then,

$\sqrt{-(\sqrt{1})^{2}} = \sqrt{-(\sqrt{1})}^{2}$

Thus,

$\sqrt{-1} = -\sqrt{1} = -1$

Or generally,

$\sqrt{-n} = -\sqrt{n}$
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