Question

What is the product of 2 sqrt(9d)*3d sqrt(5) ? Simplify if possible.
answer choses:
9d sqrt(5)
18d sqrt(5d)
6d sqrt(3d)
3d sqrt(15d)

Answer 1

The first step to take in a problem like this is to group like terms. All the terms in the square root can be grouped together, so we have:

2 * 3 * d * sqrt(9 * d * 5)

since 9 = 3 * 3, we can take it out of the sqrt:

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

which is equal to:

18d * sqrt(5d)

Sometimes, spreading apart the numbers and variables helps you to see the problem better!