Solve Square Root Division: √64/√16 Simplification Exercise

Solve the following exercise:

$\frac{\sqrt{64}}{\sqrt{16}}=$

To solve the expression $\frac{\sqrt{64}}{\sqrt{16}}$, we will use the square root quotient property, which states:

• $\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}$, assuming $b \neq 0$.

Applying this property, we have:

$\frac{\sqrt{64}}{\sqrt{16}} = \sqrt{\frac{64}{16}}$.

Next, we calculate the division within the square root:

$\frac{64}{16} = 4$.

Therefore, we now find the square root of 4:

$\sqrt{4} = 2$.

Hence, the result of the original expression $\frac{\sqrt{64}}{\sqrt{16}}$ is $\mathbf{2}$.