Question

Express the radical using the imaginary unit, iii.
Express your answer in simplified form.
\pm\sqrt{-36}=\pm±
−36
​

Answer 1

Applying complex numbers, it is found that the radical using the imaginary unit is $\pm 6i$.

A widely used property of complex numbers is given by:

$i^2 = -1$

Thus:

$\sqrt{-1} = i$

In this problem, the radical given is:

$\pm \sqrt{-36}$

Simplifying and applying the properties:

$\pm \sqrt{-1 \times 36}$

$\pm \sqrt{-1} \times \sqrt{36}$

$\pm i \times 6$

$\pm 6i$

Thus,  the radical using the imaginary unit is $\pm 6i$.

A similar problem is given at https://brainly.com/question/25173944