Question

what is the simplified form of \\(\sqrt{\frac{48}{192}}\\)? \\(\circ\\ \frac{1}{4}\\) \\(\circ\\ \frac{1}{2}\\) \\(\circ\\ 2\\) \\(\circ\\ 4\\)

Explanation:

Step1: Simplify the fraction inside the square root

First, simplify $\frac{48}{192}$. We can divide both the numerator and the denominator by 48. So, $\frac{48\div48}{192\div48} = \frac{1}{4}$.

Step2: Take the square root of the simplified fraction

Now we have $\sqrt{\frac{1}{4}}$. The square root of 1 is 1, and the square root of 4 is 2. So, $\sqrt{\frac{1}{4}}=\frac{1}{2}$.

Answer:

$\frac{1}{2}$ (corresponding to the option with $\frac{1}{2}$)