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KiRa [710]
3 years ago
6

True or False

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

Mathematics
2 answers:
ohaa [14]3 years ago
6 0

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

ivanzaharov [21]3 years ago
3 0
I hope this helps you

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