Question

Simplify. √20 * √3 * √18


5√10
6√10
5√30
6√30

Answer 1

D: 6√30

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)