To find the quotient [tex]\(\frac{\sqrt[3]{60}}{\sqrt[3]{20}}\)[/tex], follow these steps:
1. Compute the cube roots of the numerator and the denominator:
- Cube root of 60 [tex]\(\approx 3.9148676411688634\)[/tex]
- Cube root of 20 [tex]\(\approx 2.7144176165949063\)[/tex]
2. Calculate the quotient of the cube roots:
- [tex]\(\frac{3.9148676411688634}{2.7144176165949063} \approx 1.4422495703074085\)[/tex]
Therefore, [tex]\(\frac{\sqrt[3]{60}}{\sqrt[3]{20}} \approx 1.4422495703074085\)[/tex].