What is the real number value of m^3+ √12 m when 5m^2 = 45 ? F. 15
G. 27
H. 33
J. 38.09
K. 739.39

Work Shown:

Solve 5m^2 = 45 for m to get

5m^2 = 45

m^2 = 45/5

m^2 = 9

m = sqrt(9)

m = 3

I'm making m to be positive so that way the expression 12m is not negative. Otherwise, sqrt(12m) would not be a real number result.

Plug m = 3 into the expression we want to evaluate

m^3 + sqrt(12m)

3^3 + sqrt(12*3)

27 + sqrt(36)

27 + 6

33

so what is the problem what are they asking you to solve

step-by-step explanation:

so what is the problem what are they asking you to solve