Question

Find: |-9+12i| showing work

Answer 1

To calculate the absolute value (also known as modulus or magnitude) of a complex number, we use the formula:

|a + bi| = √(a² + b²)

Given the complex number -9 + 12i, we can apply this formula:

|-9 + 12i| = √((-9)² + 12²)

= √(81 + 144)

= √225

= 15