Answer
See explanation
Work Step by Step
Two expressions are algebraic conjugates if they differ only in the sign between two terms.
For example
$a+\sqrt b$ and $a-\sqrt b$.
Multiplying conjugates eliminates the radical:
$(a+\sqrt b)(a-\sqrt b)=a^2-b$.
The numbers: $5+\sqrt{3}$ and $5-\sqrt{3}$ are conjugates of each other.
