# How do you find the absolute value of |5-i|?

Jun 15, 2018

$\sqrt{26}$

#### Explanation:

$\text{given the complex number } z = x \pm y i$

$\text{then the magnitude is}$

•color(white)(x)|z|=|x+-yi|=sqrt(x^2+y^2)

$5 - i \to x = 5 \text{ and } y = - 1$

$| 5 - i | = \sqrt{{5}^{2} + {\left(- 1\right)}^{2}} = \sqrt{26}$