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!
