On the number line Distance from 0 to that number.
|a + bi| = √a2 + b2
Given a = 6 and b = 1, we have:
|6 + i| = √a2 + b2
|6 + i| = √62 + 12
|6 + i| = √36 + 1
|6 + i| = √37
Final Answer
|6 + i| = 6.0827625302982
You have 2 free calculationss remaining
What is the Answer?
|6 + i| = 6.0827625302982
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.