To solve the expression [tex]\(\sqrt[3]{4 \times 3} \times \sqrt[3]{9 \times 2}\)[/tex], we'll break it down step by step:
1. Calculate the intermediate values inside the cube roots:
[tex]\[
4 \times 3 = 12
\][/tex]
[tex]\[
9 \times 2 = 18
\][/tex]
2. Take the cube roots of these intermediate values:
[tex]\[
\sqrt[3]{12} \approx 2.2894284851066637
\][/tex]
[tex]\[
\sqrt[3]{18} \approx 2.6207413942088964
\][/tex]
3. Multiply the cube roots together:
[tex]\[
2.2894284851066637 \times 2.6207413942088964 = 6.0
\][/tex]
So, the evaluated expression is:
[tex]\[
\boxed{6}
\][/tex]
