# Chapter 10 - Exponents and Radicals - 10.8 The Complex Numbers - 10.8 Exercise Set: 111

$\sqrt{2} \text{ units}$

#### Work Step by Step

Using $|a+bi|=\sqrt{a^2+b^2},$ then the given expression, $|-1+i| ,$ is equal to \begin{array}{l}\require{cancel} \sqrt{(-1)^2+1^2} \\\\= \sqrt{1+1} \\\\= \sqrt{2} \text{ units} .\end{array}

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