Can someone help me simplify the negative square root of -169?

Question

ria23 · Answer

$$-\sqrt{-169}$$

sleepyjess · Answer

have you learned about $\normalsize\it i$ yet?

studygurl14 · Answer

$$\sqrt{-1}=i$$
So....
$$-\sqrt{-169} \rightarrow -i \sqrt{169}$$

ria23 · Answer

@sleepyjess yea I have, but the negative outside of the square root was confusing me

@StudyGurl14 I would just factor 169 from there right?

sleepyjess · Answer

@StudyGurl14 I was thinking it would be $-\sqrt{169i}$

studygurl14 · Answer

No @sleepyjess because...
$$-\sqrt{-169} \rightarrow -\sqrt{-1\times169} \rightarrow -\sqrt{-1}\sqrt{169} \rightarrow -i \sqrt{169}$$

ria23 · Answer

@StudyGurl14 
If I was to factor this out, would I end up with $$-13i \sqrt{13}$$

ria23 · Answer

@sleepyjess I like yhur poptart owl.

studygurl14 · Answer

Nope. since
$$\sqrt{169} = 13$$

studygurl14 · Answer

so...
$$-i \sqrt{169} = -13i$$

ria23 · Answer

Oh!
>u< Thank yhu~

studygurl14 · Answer

You're welcome