The modulus of a complex number is a measure of its distance from the origin in the complex plane. For a complex number in the standard form a + bi, where a is the real part and b is the imaginary part, the modulus is calculated using the formula:
Modulus = √(a² + b²)
In this case, the complex number is 3 + 4i, so we have:
- a = 3
- b = 4
Now, substituting these values into the formula:
Modulus = √(3² + 4²) = √(9 + 16) = √25 = 5
Therefore, the modulus of the complex number 3 + 4i is 5.