# How do you find the absolute value of -7+i?

Jun 24, 2017

$5 \sqrt{2}$

#### Explanation:

$\text{the absolute value of " z=x+yi" is }$

$| z | = | x + y i | = \sqrt{{x}^{2} + {y}^{2}}$

$\Rightarrow | - 7 + i |$

=sqrt((-7)^2+1^2

$= \sqrt{50}$

$= 5 \sqrt{2}$