Question

simplify:
\sqrt{\frac{32x}{8}}

a. 2x

b. 2\sqrt{x}

c. 4\sqrt{x}

d. \sqrt{\frac{x}{2}}

Explanation:

Step1: Simplify the fraction inside the square root

First, simplify \(\frac{32x}{8}\). Dividing 32 by 8 gives 4, so \(\frac{32x}{8} = 4x\). Now the expression becomes \(\sqrt{4x}\).

Step2: Simplify the square root

We know that \(\sqrt{4x}=\sqrt{4}\times\sqrt{x}\). Since \(\sqrt{4} = 2\), this simplifies to \(2\sqrt{x}\).

Answer:

B. \(2\sqrt{x}\)