3) \( \sqrt[3]{27}+\sqrt{\frac{10}{4}}-(\sqrt{16})^{2} \)

Let’s break down the expression step-by-step! First, calculate \( \sqrt[3]{27} \), which equals 3 since \( 3 \times 3 \times 3 = 27 \). Next, compute \( \sqrt{\frac{10}{4}} \). Simplifying \( \frac{10}{4} \) gives us \( 2.5 \), and \( \sqrt{2.5} \) is approximately 1.58. Now, evaluate \( (\sqrt{16})^{2} \). Since \( \sqrt{16} = 4 \), squaring it gives us \( 4^2 = 16 \). Putting it all together: \[ 3 + 1.58 - 16 \] This simplifies to \( 4.58 - 16 = -11.42 \). So, the final answer is approximately \( -11.42 \).