Question

What is the simplified version of
sqrt(-80)/sqrt(10)?
Does it include i?

Answer 1

Yes it does.

Answer 2

You can first take out the -1 out like so \(\sqrt{-80}\sqrt{10} = \sqrt{-1}\sqrt{80}\sqrt{10}\) then you can further simplify it. also, \(\sqrt{-1} = i\), so you can continue from there.

Answer 3

Okay, so it's like \[i \sqrt{80}/\sqrt{10}\] But then what do I do? Oh, do I bring it to \[i4\sqrt{5}/\sqrt{10}\]?

Answer 4

\[\frac{80}{10}=8\]

Answer 5

so you have
\[\sqrt{8}i\] or if you prefer
\[2\sqrt{2}i\]

Answer 6

Oh, that's it? I see! Thank you!

Answer 7

yw