Step 1 :Simplify the expression inside the square root: \(4 \times 2 + 1 = 9\)
Step 2 :Simplify the expression inside the parentheses: \((13-5)^{2} = 64\)
Step 3 :Substitute the simplified values back into the original expression: \(64 - 3 \sqrt{9}\)
Step 4 :Simplify the square root: \(\sqrt{9} = 3\)
Step 5 :Substitute the simplified value back into the expression: \(64 - 3 \times 3 = 55\)
Step 6 :The result of the given expression is \(\boxed{55}\)