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dalcde
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In general, how many square roots does a complex number have?
A complex number is a number that contains both a real part and an imaginary part. It is written in the form a + bi, where a is the real part and bi is the imaginary part, with i being the imaginary unit.
A complex number has two square roots, just like any other number. These square roots are called the principal square root and the negative square root.
To find the square roots of a complex number, you can use the formula √(a + bi) = ±(√a + i√b). This means that you take the square root of the real part and the square root of the imaginary part, and then combine them with a plus or minus sign.
No, a complex number can only have two square roots. This is because the square root operation can only have two results, and a complex number is no exception.
Yes, all complex numbers have square roots. This is because every complex number can be written in the form a + bi, and the square root operation applies to both the real and imaginary parts of a complex number.