Answer:
see below
Step-by-step explanation:
sqrt( -6) * sqrt(-24)
We know that sqrt(a b) = sqrt(a) sqrt(b)
sqrt(6) sqrt(-1) * sqrt(24) sqrt(-1)
We know that sqrt(-1) = i
sqrt(6) i * sqrt(24) i
We know that sqrt(a) sqrt(b) = sqrt(ab)
sqrt(6*24) i*i
sqrt(144) i^2
12 i^2
We know that i^2 = -1
12 (-1)
-12
