Question

I need help with this practice problem solving It is trig Instructions are listed in the pic

Answer 1

`3\sqrt[]{5}`

Step-by-step explanation:

We were given the expression:

`6-3i`

We are to solve for its modulus. This is shown below:

`\begin{gathered} 6-3i \\ \text{The formula for obtaining modulus is given by:} \\ if\colon z=a+bi \\ then\colon|z|=\sqrt[]{a^2+b^2} \\ \Rightarrow\sqrt[]{6^2+(-3)^2} \\ =\sqrt[]{36+9} \\ =\sqrt[]{45} \\ =\sqrt[]{9*5} \\ =\sqrt[]{9}*\sqrt[]{5} \\ =3*\sqrt[]{5} \\ =3\sqrt[]{5} \\ \\ \therefore3\sqrt[]{5} \end{gathered}`