Modulus of a Complex Number

In this question, we will explore basic operations with complex numbers. Consider the complex number $z = 3 + 4i$, where $i$ is the imaginary unit defined by $i^2 = -1$. Calculate the modulus (absolute value) of this complex number.

The modulus of a complex number $z = a + bi$ can be found using the formula:

$$ |z| = he sqrt{a^2 + b^2} $$

Using the given values of $a = 3$ and $b = 4$, apply this formula to find the modulus of the complex number $z$.