The value of i squared, written mathematically as i², is a fundamental concept in complex numbers. In mathematics, i represents the imaginary unit, which is defined as the square root of -1. Therefore, when we calculate i², we can express this as:
i² = √(-1) × √(-1)
When we multiply the two square roots, we get:
i² = -1
Thus, the value of i squared is equal to -1. This property is essential in the field of complex numbers, where i is used to expand the number system beyond real numbers. In summary, when you ask how much is i to the power of 2, the answer is simply:
i² = -1
Understanding this concept is crucial for further studies in mathematics, including algebra, calculus, and beyond.