Question

2. Which of the expressions below is equivalent to:

Answer 1

Step-by-step explanation:

$4\sqrt{27} + 3\sqrt{12}$

First, let's rewrite the numbers inside the square roots as factors that include squares:

$4\sqrt{9 * 3} + 3\sqrt{4 * 3}$

Now, we can take the square root of these squares, while keeping the remaining factor(s) inside of the square root:

$(4*3)\sqrt{3} + (3*2)\sqrt{3}$

$12\sqrt{3} + 6\sqrt{3}$

$18\sqrt{3}$