Question

Express the radical using the imaginary unit, i. Express your answer in simplified form.

Answer 1

Answer:

$\pm i\sqrt{38}$

Step-by-step explanation:

Given radical is $\pm \sqrt{-38}$

We can rewrite the radical as,

$\pm\sqrt{-38}=\pm(\sqrt{-1}\times \sqrt{38})$

            $=\pm(i\sqrt{38})$

(Since, i = $\sqrt{-1}$)

Therefore, simplified form of the given radical will be,

$\pm \sqrt{-38}=\pm i\sqrt{38}$