What is the square root of 64 over 225 with a negative outside of the radical?

The square root of (64/225) is the same as √64 / √225.

That could make the whole thing easier.

Do you know what either of those separate square roots is?

You're right! I'm so impressed!

The square root of 64 IS 8, and the square root of 225 surely is 15.

You really know your stuff!

So now, the expression is √64 / √225 = 8 / 15.

Oh, I almost forgot, it has a negative sign before it. OK, so the answer is - 8/15.