What is i^2?

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Boost your skills in A Level Further Mathematics Core Pure. Study with flashcards and multiple choice questions, each question is followed by hints and explanations. Get prepared for your exam with confidence!

Multiple Choice

What is i^2?

Explanation:
The essence is the imaginary unit i, defined by i^2 = -1. Squaring i means multiplying i by itself, and by definition that product is -1, so i^2 equals -1. This also fits the usual cycle of powers of i: i, -1, -i, 1, and back to i. The other listed values don’t arise from squaring i, since none of them satisfy i^2 = -1.

The essence is the imaginary unit i, defined by i^2 = -1. Squaring i means multiplying i by itself, and by definition that product is -1, so i^2 equals -1. This also fits the usual cycle of powers of i: i, -1, -i, 1, and back to i. The other listed values don’t arise from squaring i, since none of them satisfy i^2 = -1.

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