Consider the complex number $z = 3 + 4i$. The modulus of $z$ is defined as $|z| = oot{z \bar{z}}$ where $ar{z}$ is the conjugate of $z$. What is the value of $|z|$?

To find the modulus, you need to calculate the square root of the sum of the squares of the real and imaginary parts of the complex number.