Answer
$x+10\sqrt[]{x-1}+24$
Work Step by Step
Using $(a+b)^2=a^2+2ab+b^2$ or the square of a binomial, then,
\begin{array}{l}
\left( \sqrt[]{x-1}+5 \right)^2
\\=
(\sqrt[]{x-1})^2+2(\sqrt[]{x-1})(5)+(5)^2
\\=
x-1+10\sqrt[]{x-1}+25
\\=
x+10\sqrt[]{x-1}+24
.\end{array}