Question

Distribute and simplify these radicals:

2√3x(2√3 + 3√x)
A) 12√3 + 6√x
B) 4√3 + 6√x
C) 2√3x + 3√3x
D) 6√9x + 9√x

Answer 1

To distribute and simplify the given expression, we need to multiply each term inside the parentheses by the term outside the parentheses. The simplified expression is 12√3 + 6√x.

Step-by-step explanation:

To distribute and simplify the given expression, we need to multiply each term inside the parentheses by the term outside the parentheses. Using the distributive property, we can distribute the first term 2√3x to both terms inside the parentheses:

2√3x * 2√3 + 2√3x * 3√x

This simplifies to:

4√3√3x + 6√3x√x

Now, we can simplify the square roots:

4 * 3 * √x + 6 * √3 * √x

Thus, the simplified expression is 12√3 + 6√x.