Maximum Value Identification: Comparing Numerical Quantities

To solve this problem, we'll proceed by evaluating each expression separately:

• Step 1: Evaluate $\sqrt{36}$.
• Step 2: Evaluate $\sqrt[3]{216}$.
• Step 3: Evaluate $\sqrt{\sqrt{1296}}$.
• Step 4: Compare the results to find the largest value.

Now, let's work through each step:
Step 1: Evaluate $\sqrt{36}$.
Since $6^2 = 36$, it follows that $\sqrt{36} = 6$.

Step 2: Evaluate $\sqrt[3]{216}$.
Since $6^3 = 216$, it follows that $\sqrt[3]{216} = 6$.

Step 3: Evaluate $\sqrt{\sqrt{1296}}$.
First, find $\sqrt{1296}$. Since $36^2 = 1296$, $\sqrt{1296} = 36$.
Then, find $\sqrt{36}$. Using Step 1, $\sqrt{36} = 6$.
Thus, $\sqrt{\sqrt{1296}} = 6$.

Step 4: Compare the results. We find that:
$\sqrt{36} = 6$
$\sqrt[3]{216} = 6$
$\sqrt{\sqrt{1296}} = 6$

Since all three values are equal, each expression evaluates to 6. The answer choice that states "All answers are correct" is indeed correct. Therefore, the solution to the problem is "All answers are correct."