Question

What is the modulus of 5 - 3i

Answer 1

Hello!

The above expression exemplifies a “complex number.” A complex number takes the following form:

a + bi

In this case, A is equal to (5) while B is equal to (-3). To find the modulus of a complex number, we will need to use the following formula (let “x” represent the modulus):

x = √(a² + b²)

Insert any known values into the formula above:

x = √((5)² + (-3)²)

Simplify the right side of the equation:

x = √(25 + 9)
x = √34

We have now proven that the modulus is equal to √34.

I hope this helps!