Question

Express the radical using the imaginary unit, iii.

Answer 1

Answer:

$\pm5i$

Step-by-step explanation:

To express the radical $\pm\sqrt{-25}$ using the imaginary unit, we apply the following:

$\sqrt{-1} =i\\Therefore:\\\pm\sqrt{-25}=\pm\sqrt{-1X25}$

Since we can express the root of two product as a product of their roots:

$\pm\sqrt{-1X25}=\pm\sqrt{25}X \sqrt{-1}\\=\pm5i$