Question

Hi I need help with this question, please and thank you

Answer 1

$\begin{gathered} Real\: Part\colon8 \\ Imaginary\: Part\colon-7\sqrt[]{5} \end{gathered}$

1) In this question, we need to remember that a Complex Number is written as:

$z=a+bi$

2) So, let's rewrite that expression as a complex number made up of a Real part and an imaginary one:

$\begin{gathered} 8-\sqrt[]{-245} \\ 8-\sqrt[]{-1}\cdot\sqrt[]{245} \\ 8-i\sqrt[]{245} \\ 8-7\sqrt[]{5}i \end{gathered}$

Note that √-1= i

3) So we can answer that as:

$\begin{gathered} Real\: Part\colon8 \\ Imaginary\: Part\colon-7\sqrt[]{5} \end{gathered}$