The given expression is,
[tex](5+\sqrt[]{3})^2[/tex]We have the algebraic expansion,
[tex](a+b)^2=a+2ab+b^2[/tex]Therefore we have,
[tex]\begin{gathered} (5+\sqrt[]{3})^2=5^2+(2\times\sqrt[]{3}\times5)+(\sqrt[]{3})^2 \\ \text{ =25+10}\sqrt[]{3}+3=28+10\sqrt[]{3} \end{gathered}[/tex]Thus, the correct option is 28 + 10sqrt3.
