Answered

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Use the inverse relationship to complete the expression.

If [tex][tex]$i=\sqrt{-1}$[/tex][/tex], then [tex][tex]$i^2=$[/tex][/tex] [tex]$\square$[/tex].

Sagot :

GinnyAnswer
Let's consider the given information:

1. [tex]\( i = \sqrt{-1} \)[/tex]

To find [tex]\( i^2 \)[/tex]:

2. By definition, squaring both sides of the equation [tex]\( i = \sqrt{-1} \)[/tex] gives us:
[tex]\[ i^2 = (\sqrt{-1})^2 \][/tex]

3. Squaring a square root undoes the square root function, so:
[tex]\[ (\sqrt{-1})^2 = -1 \][/tex]

Therefore, the expression [tex]\( i^2 \)[/tex] evaluates to:

[tex]\[ i^2 = -1 \][/tex]

So, the completed expression is:

[tex]\[ i^2 = -1 \][/tex]
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