Question

How to find the absolute value of -1+5i??

Answer 1

ANSWER

$\text{ }\sqrt[]{26}$

EXPLANATION

We want to find the absolute value of the complex number:

-1 + 5i

The absolute value of a complex number a + bi is given as the distance of the number from 0 on the complex plane. Mathematically, it is given as:

$|a\text{ + bi| = }\sqrt[]{a^2+b^2}$

So, the absolute value of the given number is:

$\begin{gathered} |-1\text{ + 5i| = }\sqrt[]{(-1)^2+(5)^2} \\ =\text{ }\sqrt[]{1\text{ + 25}} \\ =\text{ }\sqrt[]{26} \end{gathered}$

That is the answer.