Question

True or False sqrt{2} " alt=" i^{2} = \sqrt{2} " align="absmiddle" class="latex-formula">?

Answer 1

Answer:

False, $i^2\neq \sqrt{2}$

Step-by-step explanation:

$i$ is defined as:

$i=\sqrt{-1}$

so $i^2$ must be:

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

The square root and the squared power are inverse operations, so they cancel ech other

$i^2=-1$

so it is concluded that $i^2$ is not equal to $\sqrt{2}$, but instead is equal to $-1$

Answer 2

I hope this helps you