Answer:
18 sqrt(2)
Explanation:
Simplify the following:
2 sqrt(18) + 3 sqrt(2) + sqrt(162)
sqrt(18) = sqrt(2×3^2) = 3 sqrt(2):
2×3 sqrt(2) + 3 sqrt(2) + sqrt(162)
2×3 = 6:
6 sqrt(2) + 3 sqrt(2) + sqrt(162)
sqrt(162) = sqrt(2×3^4) = 3^2 sqrt(2):
6 sqrt(2) + 3 sqrt(2) + 3^2 sqrt(2)
3^2 = 9:
6 sqrt(2) + 3 sqrt(2) + 9 sqrt(2)
Add like terms. 6 sqrt(2) + 3 sqrt(2) + 9 sqrt(2) = 18 sqrt(2):
Answer: 18 sqrt(2)