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The result of subtracting a complex number to its conjugate is _____
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The result of subtracting a complex number to its conjugate is a real number.
For example, let z = a + bi be a complex number, where a and b are real numbers and i is the imaginary unit. The conjugate of z is denoted by z* and is given by z* = a - bi.
The result of subtracting z* from z is:
z - z* = (a + bi) - (a - bi) = 2bi
Since 2bi is a pure imaginary number, it has no real part. Therefore, the result of subtracting a complex number to its conjugate is a real number, which in this case is zero.
For example, let z = a + bi be a complex number, where a and b are real numbers and i is the imaginary unit. The conjugate of z is denoted by z* and is given by z* = a - bi.
The result of subtracting z* from z is:
z - z* = (a + bi) - (a - bi) = 2bi
Since 2bi is a pure imaginary number, it has no real part. Therefore, the result of subtracting a complex number to its conjugate is a real number, which in this case is zero.
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