Question
\left(\sqrt[3]{12}\right)\left(\sqrt[3]{36}\right)
Answers
GPT 3.5
To simplify this expression, we can multiply the two cube roots together.
\(\sqrt[3]{12} \cdot \sqrt[3]{36} = \sqrt[3]{12 \cdot 36} = \sqrt[3]{432}\)
Next, we can simplify the cube root of 432:
Since 432 equals \(2^4 \cdot 3^3\), the cube root of 432 is \(2\cdot3 = 6\).
So, \(\sqrt[3]{12} \cdot \sqrt[3]{36} = 6\).
\(\sqrt[3]{12} \cdot \sqrt[3]{36} = \sqrt[3]{12 \cdot 36} = \sqrt[3]{432}\)
Next, we can simplify the cube root of 432:
Since 432 equals \(2^4 \cdot 3^3\), the cube root of 432 is \(2\cdot3 = 6\).
So, \(\sqrt[3]{12} \cdot \sqrt[3]{36} = 6\).