Answer:

Step-by-step explanation: The product has two square-roots being multipled together, the inside of each of the root must be greater than or equal to zero, this in Mathematics can be written as follows:
![\begin{gathered} \sqrt[]{x-5}*\sqrt[]{x+2} \\ \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/v6ttjqjker2k23xe1e9lq22h8fp21zgysm.png)
Therefore, applying the condition leads us to the following conclusion:
![\begin{gathered} \sqrt[]{x-5}*\sqrt[]{x+2} \\ \therefore\rightarrow \\ x-5\ge0\rightarrow x\ge5 \\ x+2\ge0\rightarrow x\ge-2 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/f009jwbsjhvcuft99yk0n6iw7dg0f5joyg.png)
Therefore it follows that x must be:
