Question Solve $\left(u+3\right)^{3/2} = 6$ for real number $u$, and simplify the solution.

Studdy Solution
We can leave the answer in this form, or if we want to express $\sqrt[3]{36}$ as a decimal, we can approximate it. However, since the problem asks us to simplify as much as possible, we will leave it in radical form.
$$u = \sqrt[3]{36} - 3$$
Therefore, the solution for $u$ is $u = \sqrt[3]{36} - 3$.