Question

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

Answer 1

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

Step-by-step 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.