My question is a complex numbers question: square root -6 times square root -24 the answer is -12, but I don't know how to solve it

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

b.) 160 miles on a 5 gallons car

step-by-step explanation:

240/10=24 miles/gallon

160/5=32 miles/gallon

30/1=30 miles/gallon

168/6= 28 miles/gallon

32 miles/gallon is the most amount, so this is the best.

answer is c

step-by-step explanation: