Simplify Negative Radicals

My geometry teacher wants us to simplify radicals, however I forgot how to do the ones for a negative... Like -√24, for example... If you can write out how you got the answer, that will help me very much. Thank you <3

Recall that BY DEFINITION, the radical FUNCTION, √ , is always positive.

Therefore, -√x is the same as (-1)*√x. If it helps, write the expression as:

(-1)√24
or
(-1)*√24

Then, simplify the term under the radical as you normally would, and then multiply the final result by the (-1):

-√24 = (-1)√24 = (-1)√(3*8) = (-1)*√(3*2*4) = (-1)*(√4)*√(3*2)
= (-1)(2)√6 = -2√6

QED

-√24
-√(6*4) Factors of 24 are 6 and 4.
-√(3*2*2*2) Factors of 6 are 2 and 3. Factors of 4 are 2 and 2.
-2√6 Since there is a pair of 2s, take a 2 outside the radical. The number under the radical is 6 because 6 can't factor into a perfect square.