# Chapter 9 - Section 9.4 - Imaginary Numbers as Solutions of Quadratic Equations - Exercise Set - Page 655: 4

$i\sqrt{19}$

#### Work Step by Step

Using the properties of radicals and that $i=\sqrt{-1}$, then the given expression, $\sqrt{-19} ,$ is equivalent to \begin{array}{l}\require{cancel} \sqrt{-1}\cdot\sqrt{19} \\\\= i\cdot\sqrt{19} \\\\= i\sqrt{19} .\end{array}

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