Step 1 :Given the function \(f(x)=\sqrt{10 x+5}\), we need to find the value of \(f(3)\).
Step 2 :Substitute \(x = 3\) into the function: \(f(3)=\sqrt{10*3+5}\).
Step 3 :Calculate the value to get \(f(3) = 5.92\).
Step 4 :Final Answer: \(f(3) = \boxed{5.92}\)