Simplify: sqrt [3](24) A 3sqrt [3](3) B 2sqrt [3](3) C 8sqrt [3](3) c D D 3sqrt [3](2)

To simplify \(\sqrt[3]{24}\), we need to factorize 24 into its prime factors and then apply the cube root.<br /><br />First, let's factorize 24:<br />\[ 24 = 2^3 \times 3 \]<br /><br />Now, we can rewrite the cube root of 24 using this factorization:<br />\[ \sqrt[3]{24} = \sqrt[3]{2^3 \times 3} \]<br /><br />We can separate the factors inside the cube root:<br />\[ \sqrt[3]{24} = \sqrt[3]{2^3} \times \sqrt[3]{3} \]<br /><br />Since \(\sqrt[33} = 2\), we have:<br />\[ \sqrt[3]{24} = 2 \times \sqrt[3]{3} \]<br /><br />Therefore, the simplified form of \(\sqrt[3]{24}\) is:<br />\[ 2\sqrt[3]{3} \]<br /><br />So, the correct answer is:<br />B. \(2\sqrt[3]{3}\)