Yes. Also, for finding any other root (cubic root, fourth root, etc.).
The main square root of a complex number can be found easily if it is expressed in polar notation. For example: the square root of 5 at an angle of 46 degrees) the complex number that has the absolute value 5 and an angle of 46 degrees) is equal to the square root of 5, at an angle of 46/2 = 23 degrees.
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A complex number is any number that can be represented in the form of a+bi, the real numbers are a and b, the imaginary number is i. Complex numbers are used in scientific and engineering fields.
The set of real numbers are a subset of the set of complex numbers: imagine the complex plane with real numbers existing on the horizontal number line, and pure imaginary existing on the vertical axis. The entire plane (which includes both axes) is the set of complex numbers. So any real number (such as pi) will also be a complex number. But many people think of complex numbers as something that is "not a real number".
Rational and irrational numbers are real numbers. A complex number is represented by a+bi where a and b are real numbers. Zero is a real number therefore any real number is also complex whenever b=0
No. Negative four is a real number. All real numbers are also complex numbers, so it is a complex number (but it's real, not nonreal)
Yes. All Real numbers are a proper subset of the Complex numbers.