Given:
The expression is,
[tex]\sqrt[]{x^2+10x+25}[/tex]
To simplify this expression first solve the equation under square root.
[tex]\begin{gathered} x^2+10x+25 \\ =x^2+2(5x)+5^2 \\ =(x+5)^2 \end{gathered}[/tex]
Now, put the value in the given expression,
[tex]\begin{gathered} \sqrt[]{x^2+10x+25}=\sqrt[]{(x+5)^2} \\ =x+5 \end{gathered}[/tex]
Answer:
[tex]\sqrt[]{x^2+10x+25}=x+5[/tex]
