real part = 8
imaginary part = -√245
Explanation:[tex]\begin{gathered} \text{Given:} \\ 8\text{ - }\sqrt[]{-245} \end{gathered}[/tex][tex]\begin{gathered} \text{For a complex number:} \\ a\text{ + bi} \\ a\text{ = real part} \\ b\text{ = imaginary part} \end{gathered}[/tex]
since we can't find square root of a negative number, we will introduce the complex number:
i² = -1
[tex]\begin{gathered} 8-\sqrt[]{-245}\text{ = 8-}\sqrt[]{245i^2} \\ =\text{ 8-i}\sqrt[]{245} \\ \\ \text{writing in the form of real and imainary number:} \\ \text{8-}\sqrt[]{245i}\text{ = 8 + (i}\times\text{-}\sqrt[]{245}) \end{gathered}[/tex][tex]\begin{gathered} \text{real part = 8} \\ \text{imaginary part = -}\sqrt[]{245} \end{gathered}[/tex]
