What is the simples form of the the following expression? 2 square root 18 + 3 square root 2 + square root 162

18 sqrt(2)

Step-by-step 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):

 18 sqrt(2)

the correct answer is 5 6 and 7

hello :

by applying the distributive property :

6 × 4.3 = 6 × ( 4 + 0.3 )

            =   (6 ×   4) + (6 ×   0.3)

            = 24 + 1.8

6 × 4.3 = 25.8