Solve Square Root Division: √144 ÷ √4 Simplification Problem

We are tasked with solving the expression $\frac{\sqrt{144}}{\sqrt{4}}$. To proceed, we will use the square root quotient property.

According to the square root quotient property, $\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}$. Applying this to the given expression, we have:

$\frac{\sqrt{144}}{\sqrt{4}} = \sqrt{\frac{144}{4}}$

Next, simplify the fraction inside the square root:

$\frac{144}{4} = 36$

Now, we need to find the square root of 36:

$\sqrt{36} = 6$

Thus, the value of $\frac{\sqrt{144}}{\sqrt{4}}$ is $6$.

Therefore, the solution to the problem is $\boxed{6}$.