We are to evaluate the expression:
[tex](5-\sqrt{7})(5+\sqrt{7})[/tex]First, we write it in the form below:
[tex]5(5+\sqrt{7})-\sqrt{7}(5+\sqrt{7})[/tex]Next. we open the brackets
[tex]\begin{gathered} =25+5\sqrt{7}-5\sqrt{7}-(\sqrt{7})^2 \\ =25-7 \\ =18 \end{gathered}[/tex]Therefore, the product of the two terms is 18.
