Simplify. √20 * √3 * √18

5√10

6√10

5√30

6√30

D: 6√30

Step-by-step explanation:

Simplify the following:

sqrt (20) sqrt (3) sqrt (18)

sqrt (18) = sqrt (2*3^2) = 3 sqrt (2):

sqrt (20) sqrt (3) * 3 sqrt (2)

sqrt (20) = sqrt (2^2*5) = 2 sqrt (5):

2 sqrt (5) sqrt (3) * 3 sqrt (2)

2*3 = 6:

6 sqrt (5) sqrt (3) sqrt (2)

sqrt (5) sqrt (3) sqrt (2) = sqrt (5*3*2):

6 sqrt (5*3*2)

5*3 = 15:

6 sqrt (15*2)

15*2 = 30:

Answer: 6 sqrt (30)