Absolute Value 6 + 1i and 3 + -7i ·

18 Jun 2024, 00:00

Absolute Value 6 + 1i and 3 + -7i Image to Crop

Evaluate this complex number absolute value

|6 + i|

Define the complex absolute value:

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

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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.

For more math formulas, check out our Formula Dossier

What 8 concepts are covered in the Complex Number Operations Calculator?

absolute valueA positive number representing the distance from 0 on a number lineadditionmath operation involving the sum of elementscomplex numbera number that can be written in the form a + b or a - bicomplex number operationsconjugateA term formed by changing the sign between two terms in a binomial.divisionseparate a number into partsmultiplicationmath operation involving the product of elementssubtractionmath operation involving the difference of elements

Absolute Value 6 + 1i and 3 + -7i

Evaluate this complex number absolute value |6 + i| On the number lineDistance from 0 to that number. |a + bi| = a2 + b2 |6 + i| = a2 + b2 |6 + i| = 62 + 12 |6 + i| = 36 + 1 |6 + i| = 37

Define the complex absolute value:

Given a = 6 and b = 1, we have:

Final Answer

You have 1 free calculations remaining

What is the Answer?

How does the Complex Number Operations Calculator work?

What 6 formulas are used for the Complex Number Operations Calculator?

What 8 concepts are covered in the Complex Number Operations Calculator?

Example calculations for the Complex Number Operations Calculator

Complex Number Operations Calculator Video

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