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Simplify the following expression:

[tex]\[ \sqrt[3]{4 \times 3} \times \sqrt[3]{9 \times 2} \][/tex]

Sagot :

GinnyAnswer
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]
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