Question

Find the modulus of 15+36i

Answer 1

The modulus is 39

Explanation:

Modulus of a complex number

The modulus or absolute value, of a complex number, denoted |x+iy| is calculated with the formula:

`\displaystyle |x+\mathbf{i}y|=\sqrt {x^(2)+y^(2)}`

The given complex number is z = 15 + 36i

Calculating the modulus:

`|z|=\sqrt {15^(2)+36^(2)}`

`|z|=\sqrt {225+1296}`

`\boxed{|z|=\sqrt {1521}}`

|z|=39

The modulus is 39