which expression is equivalent to $sqrt{120x}$?\n$2sqrt{30x}$\n$2sqrt{30}$\n$4sqrt{30x}$\n$60sqrt{2x}$

Explanation:

Step1: Factorize 120

We know that (120 = 4\times30), so (\sqrt{120x}=\sqrt{4\times30x}).

Step2: Use the square - root property (\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}) ((a = 4), (b = 30x))

(\sqrt{4\times30x}=\sqrt{4}\cdot\sqrt{30x}).

Step3: Calculate (\sqrt{4})

Since (\sqrt{4}=2), then (\sqrt{4}\cdot\sqrt{30x}=2\sqrt{30x}).

Answer:

A. (2\sqrt{30x})