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4 votes
True or False

i^(2) = √(2)?

User Olivmir
by
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2 Answers

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I hope this helps you
True or False i^(2) = √(2)?-example-1
User Allan Thomas
by
9.0k points
4 votes

Answer:

False,
i^2\\eq √(2)

Explanation:


i is defined as:


i=√(-1)

so
i^2 must be:


i^2=(√(-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
√(2), but instead is equal to
-1

User Harish Kumar
by
8.0k points