As given by the question
There are given that the limit:
[tex]\lim _{x\rightarrow7}f(x)=49[/tex]
Now,
From the law of limit:
[tex]\lim _{x\rightarrow a}(\sqrt[]{f(x)})=\sqrt[]{m}[/tex]
Then,
Apply the above laws into the given limit
So,
[tex]\begin{gathered} \lim _{x\rightarrow7}\sqrt{f(x)}=\sqrt{49} \\ =7 \end{gathered}[/tex]
Hence, the answer is 7.
