On a right triangle................whose hyp is one..............................how else could u make the other two sides............to be exact??

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An imaginary number ^{[note 1]} is a complex number that can be written as a real number multiplied by the imaginary unit i, ^{[note 2]} which is defined by its property i² = −1. The square of an imaginary number bi is −b². For example, 5i is an imaginary number, and its square is −25.

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What is a complex number?

A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit, that satisfies the equation i² = −1. In this expression, a is the real part and b is the imaginary part of the complex number.

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If a = 0 and b ≠ 0, then we have a complex number, 0 + bi = bi, that is called a pure imaginary number which is a subset of the set of imaginary numbers. So, every imaginary number is a complex number, but not every complex number is an imaginary number; A complex number can be a real number!

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Any number times itself is a positive number (or zero), so you can't ever get to a negative number by squaring. Since square roots undo squaring, negative numbers can't have square roots. The square root of a number y is defined to be the value x such that x 2 = y . However, for any real number x , x 2 ≥ 0 .

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The "unit" Imaginary Number (the equivalent of 1 for Real Numbers) is √(−1) (the square root of minus one). In mathematics we use i (for imaginary) but in electronics they use j (because "i" already means current, and the next letter after i is j).

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Complex Numbers: Introduction - Purplemath

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Introduces the imaginary number 'i', and demonstrates how to simplify ... That's because you had no numbers which were negative after you'd squared them (so ...

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Imaginary Numbers - Math is Fun

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Unit Imaginary Number. The "unit" Imaginary Number (the equivalent of 1 for Real Numbers) is √(−1) (the square root of minus one).

Complex Numbers - Math is Fun

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Example: add the complex numbers 3 + 2i and 1 + 7i. add the real numbers, and. add the imaginary numbers: