Find the Linear Approximation of the Function F (X) = $\sqrt { x + 24 }$

Multiple Choice

Find the linear approximation of the function f (x) = $\sqrt { x + 24 }$ at x $1$ = 1 and use it to approximate $\sqrt { 25.05 }$ .

A) 5.001
B) 5.002
C) 5.003
D) 5.004
E) 5.005
F) 5.006
G) 5.007
H) 5.008