After expanding and simplifying numerator and denominator, we are left with:
5 - 7i
7 + 3i
=
14 - 64i
58
Our fraction is not fully reduced
The Greatest Common Factor (GCF) of 14, -64, and 58 is 2
Reducing our fraction by the GCF, we get our answer:
5 - 7i
7 + 3i
=
7 - 32i
29
5 - 7i
7 + 3i
=
7 - 32i
29
Final Answer
5 - 7i
7 + 3i
=
7 - 32i
29
You have 2 free calculationss remaining
What is the Answer?
5 - 7i
7 + 3i
=
7 - 32i
29
How does the Complex Number Operations Calculator work?
Free Complex Number Operations Calculator - Given two numbers in complex number notation, this calculator: 1) Adds (complex number addition), Subtracts (complex number subtraction), Multiplies (complex number multiplication), or Divides (complex number division) any 2 complex numbers in the form a + bi and c + di where i = √-1. 2) Determines the Square Root of a complex number denoted as √a + bi 3) Absolute Value of a Complex Number |a + bi| 4) Conjugate of a complex number a + bi This calculator has 4 inputs.
What 6 formulas are used for the Complex Number Operations Calculator?
a + bi + (c + di) = (a + c) + (b + d)i a + bi - (c + di) = (a - c) + (b - d)i (a * c) + (b * c) + (a * d) + (b * d) The square root of a complex number a + bi, is denoted as root1 = x + yi and root2 = -x - yi |a + bi| = sqrt(a2 + b2) a + bi has a conjugate of a - bi and a - bi has a conjugate of a + bi.