Question

Identify the equivalent value of 1.732050
3√
3√3
3√4
66√

Answer 1

It looks like you're trying to express some numbers using root symbols. Here's my interpretation of what you provided:

1. \( \sqrt[3]{3} \)
2. \( \sqrt[3]{3\sqrt{3}} \)
3. \( \sqrt[3]{4} \)
4. \( \sqrt{66} \)

The value \( 1.732050 \) is approximately equal to \( \sqrt{3} \).

Now, let's evaluate each of the expressions:

1. **\( \sqrt[3]{3} \)**: This is the cube root of 3, which is approximately 1.442.
2. **\( \sqrt[3]{3\sqrt{3}} \)**: This can be simplified as follows:
\[
3\sqrt{3} = 3 \cdot 1.732050 \approx 5.196,
\]
then taking the cube root gives approximately 1.725.
3. **\( \sqrt[3]{4} \)**: The cube root of 4 is approximately 1.587.
4. **\( \sqrt{66} \)**: This is approximately equal to 8.124.

If you were looking for a specific correlation or simplification between these values and \( 1.732050 \), it seems like none of them directly relate to \( \sqrt{3} \) (which is about 1.732).

If you have a specific calculation in mind or a different context, please clarify!