What is the following quotient?

[tex]\[ \frac{\sqrt[3]{60}}{\sqrt[3]{20}} \][/tex]

A. [tex]\(\sqrt[3]{3}\)[/tex]
B. 3
C. [tex]\(2(\sqrt[3]{5})\)[/tex]
D. 40



Answer :

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].