#1**+1 **

Simplify the following:

4 sqrt(27) + 6 sqrt(75)

Simplify radicals.

sqrt(27) = sqrt(3^3) = 3 sqrt(3):

4×3 sqrt(3) + 6 sqrt(75)

Simplify radicals.

sqrt(75) = sqrt(3×5^2) = 5 sqrt(3):

4×3 sqrt(3) + 6×5 sqrt(3)

Multiply 4 and 3 together.

4×3 = 12:

12 sqrt(3) + 6×5 sqrt(3)

Multiply 6 and 5 together.

6×5 = 30:

12 sqrt(3) + 30 sqrt(3)

Add like terms in 12 sqrt(3) + 30 sqrt(3).

12 sqrt(3) + 30 sqrt(3) = 42 sqrt(3):

**42 sqrt(3)**

Guest Dec 26, 2017