Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Discover reliable solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

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]
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.