Sure, let's solve the given expression step by step.
The expression we need to evaluate is:
[tex]\[ (2 \sqrt{12})(\sqrt[3]{36}) \][/tex]
1. Calculate [tex]\(\sqrt{12}\)[/tex]:
- The square root of 12 is approximately 3.4641.
2. Calculate [tex]\(\sqrt[3]{36}\)[/tex]:
- The cube root of 36 is approximately 3.3019.
3. Multiply these components together:
- First, multiply 2 by the square root of 12:
[tex]\[ 2 \times 3.4641 = 6.9282 \][/tex]
- Next, multiply the result by the cube root of 36:
[tex]\[ 6.9282 \times 3.3019 \approx 22.8764 \][/tex]
So the value of the expression [tex]\((2 \sqrt{12})(\sqrt[3]{36})\)[/tex] is approximately [tex]\(22.8764\)[/tex].
