What is i^2?

Prepare for the A Level Further Mathematics Core Pure Test with detailed explanations and challenging questions. Boost your understanding and confidence to excel in your exam!

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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