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QUESTION IMAGE

fill in the blanks. the imaginary unit \\(i\\) is defined as \\(i = \\u…

Question

fill in the blanks.

the imaginary unit \\(i\\) is defined as \\(i = \underline{\quad\quad}\\), where \\(i^2 = \underline{\quad\quad}\\).

Explanation:

Define the imaginary unit

Using the Imaginary Numbers and Complex Numbers knowledge points

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

Determine the square of the imaginary unit

Using the Imaginary Numbers and Complex Numbers knowledge points

$$ i^2 = -1 $$

Answer:

Fill in the blanks.

The imaginary unit \(i\) is defined as \(i =\) <blank>\(\sqrt{-1}\)</blank>, where \(i^2 =\) <blank>\(-1\)</blank>.