Question

The value of \(i^2\) (where \(i = \sqrt{-1}\)) is:

• A. One
• B. Maximum
• C. Zero
• D. Minimum

Hint:

\(i = \sqrt{-1}\)
\(i^2 = -1\)
\(i^3 = -i\)
\(i^4 = 1\)
\(i^4 = 1\) is often used in multiple-choice questions.

Answer 1

The Correct Option is A

Step 1: Understanding the Concept:
The imaginary unit is defined as \[ i=\sqrt{-1}. \] Its powers follow a cyclic pattern, making evaluation straightforward.

Step 2: Key Relation:
The fundamental property of the imaginary unit is \[ i^2=-1. \]

Step 3: Explanation:
Squaring the imaginary unit gives \[ i^2=(\sqrt{-1})^2=-1. \] Hence, the mathematical value of \(i^2\) is \(-1\). If the printed options do not contain \(-1\), the question contains a typographical error in the options.

Step 4: Final Answer:
i^2=-1} Thus, the correct mathematical value is \(-1\).
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