b. \( \sqrt{(-4)^{2}}+\sqrt{(-1)^{4}} \)

To solve the expression, let's break it down step-by-step! First, we calculate \((-4)^{2}\), which equals \(16\). The square root of \(16\) is \(4\). Next, we calculate \((-1)^{4}\), which equals \(1\). The square root of \(1\) is \(1\). Now, combine those results: \(4 + 1 = 5\). So, the final answer is \(5\)! For anyone concerned about dealing with square roots involving negative numbers, remember that squaring any negative number will always yield a positive result, making calculations like this straightforward and safe! If you ever encounter a square root of a negative number in your math adventures, you'll be diving into the fascinating world of imaginary numbers!