![]() ![]() You cannot copy more than 20 words from any of our posts. Our calculator can power any complex number to an integer (positive, negative), real, or even complex number.Īnd you have to define the source with “Source: ” (working link).In other words, we calculate 'complex number to a complex power' or 'complex number raised to a power'. ![]() We calculate all complex roots from any number - even in expressions: Our calculator is on edge because the square root is not a well-defined function on a complex number. If you want to find out the possible values, the easiest way is to go with De Moivre's formula. Because of the fundamental theorem of algebra, you will always have two different square roots for a given number. Square root of complex number (a+bi) is z, if z 2 = (a+bi). The calculator uses the Pythagorean theorem to find this distance. The absolute value or modulus is the distance of the image of a complex number from the origin in the plane. ![]() If the denominator is c+d i, to make it without i (or make it real), multiply with conjugate c-d i: This approach avoids imaginary unit i from the denominator. The division of two complex numbers can be accomplished by multiplying the numerator and denominator by the denominator's complex conjugate. ![]()
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