To solve [tex]\((3) \sqrt[3]{\frac{42875}{729}}\)[/tex], we need to find the cube root of the fraction [tex]\(\frac{42875}{729}\)[/tex].
1. Evaluate the Fraction: We start by simplifying the fraction [tex]\(\frac{42875}{729}\)[/tex].
2. Simplify the Expression: The simplification of [tex]\(\frac{42875}{729}\)[/tex] gives us a numerical value.
3. Cube Root Calculation: Next, we compute the cube root of the resulting number from the fraction simplification. The cube root involves finding a number that, when multiplied by itself three times, gives us the value we obtained from the fraction.
By performing these steps, we determine that:
[tex]\[
\sqrt[3]{\frac{42875}{729}} \approx 3.888888888888889
\][/tex]
This means that the cube root of [tex]\(\frac{42875}{729}\)[/tex] is approximately [tex]\(3.888888888888889\)[/tex].
