Solve Square Root of Fraction: √(64/4) Simplified

Solve the following exercise:

$\sqrt{\frac{64}{4}}=$

To solve this problem, we'll follow these steps:

• Step 1: Simplify the fraction $\frac{64}{4}$.
• Step 2: Apply the Square Root Quotient Property.
• Step 3: Calculate the square roots of the numerator and the denominator.

Now, let's work through each step:

Step 1: Simplify the fraction $\frac{64}{4}$. The division yields $16$, so we have $\sqrt{16}$.

Step 2: Using the Square Root Quotient Property, $\sqrt{\frac{64}{4}} = \frac{\sqrt{64}}{\sqrt{4}}$.

Step 3: Calculate the square roots: $\sqrt{64} = 8$ and $\sqrt{4} = 2$, so $\frac{8}{2} = 4$.

Thus, the solution to the problem is $\sqrt{\frac{64}{4}} = 4$.

Therefore, the correct answer is $4$, which corresponds to choice 3 in the given options.