## Intermediate Algebra (12th Edition)

$\text{C. }2+i\sqrt{2}$
$\bf{\text{Solution Outline:}}$ Multiply the given expression, $\dfrac{2+i\sqrt{2}}{2-i\sqrt{2}} ,$ by the complex conjugate of the denominator to convert it in standard form. $\bf{\text{Solution Details:}}$ To convert the given expression in standard form, multiply it by the complex conjugate of the denominator. The complex conjugate of the denominator has the exact same terms as the denominator, with the oeprator between the terms reversed. Hence, the complex conjugate of the denominator is $\text{C. }2+i\sqrt{2}.$