How do you find the absolute value of 5+12i?

aspifsGak5u

aspifsGak5u

Answered question

2022-01-17

How do you find the absolute value of 5+12i?

Answer & Explanation

mauricio0815sh

mauricio0815sh

Beginner2022-01-18Added 34 answers

Quick method
The first couple of Pythagorean triples are:
3,4,5
5,12,13
So a right angled triangle with legs 5 and 12 will have hypotenuse 13
Standard formula using Complex conjugate
|z|=zz
|5+12i|=(5+12i)(512i)=25+144=169=13
Two dimensional distance formula
The absolute value of a Complex number is its distance from 0, which is given by the distance formula:
|x+iy|=x2+y2
In our example:
|6+12i|=52+122=25+144=169=13
Cassandra Ramirez

Cassandra Ramirez

Beginner2022-01-19Added 30 answers

Absolute value of 5+12i is 13.
Explanation:
Absolute value of a complex number a+bi is a2+b2
hence absolute value of 5+12i is 52+122=25+144=169=13

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