What does “The imaginary unit” actually mean in Complex Numbers, and why does it matter for JEE?
i is defined by i² = −1, letting us handle square roots of negative numbers.
In simple words: i is defined by i² = −1, letting us handle square roots of negative numbers. Getting The imaginary unit clear matters because JEE questions on Complex Numbers usually test this idea directly, not just a formula you memorised.
Key point
The imaginary unit
Common mistake
writing √(−1)·√(−1) = √1 = 1.
Memory tip
the rule √a·√b=√(ab) fails for negatives — i² = −1, not +1.
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