(4.) \( \sqrt[5]{96} \)

To simplify \( \sqrt[5]{96} \), we first factor 96 into its prime components: \( 96 = 2^5 \times 3 \). This allows us to rewrite it as \( \sqrt[5]{2^5 \times 3} \). Now, taking the fifth root results in \( 2 \times \sqrt[5]{3} \). Hence, \( \sqrt[5]{96} = 2\sqrt[5]{3} \). Also, did you know that the fifth root function connects with various fields like physics and computer science? It’s used in calculations involving growth rates and algorithms, providing a fascinating link between mathematics and real-world scenarios. Understanding such concepts can greatly enhance problem-solving skills in both academic and practical settings!