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Let's evaluate the values of these numbers to put them in order from least to greatest:

1. **\(\sqrt{13.76}\)**: The square root of 13.76 is approximately 3.71.
   
2. **\(3\pi\)**: The value of \(\pi\) (pi) is approximately 3.1416. So, \(3\pi \approx 3 \times 3.1416 = 9.4248\).

3. **\(\sqrt{48}\)**: The square root of 48 is approximately 6.93.

Now, let's list them from least to greatest:

- \(\sqrt{13.76} \approx 3.71\)
- \(\sqrt{48} \approx 6.93\)
- \(3\pi \approx 9.42\)

So, the order from least to greatest is:

\[
\sqrt{13.76}, \sqrt{48}, 3\pi
\]

Would you like more details or have any questions?

Here are some related questions to deepen understanding:
1. What is the process for calculating square roots manually?
2. How does the approximation of \(\pi\) affect calculations involving circles?
3. How can we use a calculator to quickly solve square roots and other radicals?
4. How are irrational numbers like \(\pi\) and \(\sqrt{2}\) represented on a number line?
5. How does one solve radical equations algebraically?

**Tip:** When comparing irrational and rational numbers, it's helpful to round them to a few decimal places for easy comparison.

Put these numbers in order from least to greatest: \(\sqrt{13.76}\), \(3\pi\), and \(\sqrt{48}\).

Learn how to compare and order the numbers \(\sqrt{13.76}\), \(3\pi\), and \(\sqrt{48}\) from least to greatest. This problem covers concepts of square roots, pi, and number comparison, making it suitable for students in Grades 8-10. Get a step-by-step solution and understand the properties of irrational numbers.

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