You have the following expression:
[tex]\sqrt[]{x+5}[/tex]take into account that you can apply the square root only for numbers greater or equal to zero.
Then, it is necessary that:
[tex]\begin{gathered} x+5\ge0 \\ x\ge-5 \end{gathered}[/tex]Hence, for values of greater or equal to -5 the square root makes sense.
