Question

Identify the equivalent value of 2.4494897….
6√
6√3
6√4
61/5

Answer 1

To find the equivalent value of \(2.4494897...\), let's first recognize that this might represent a square root or a more complex root.

Calculating \( \sqrt{6} \):

Using a calculator, we find:

\[
\sqrt{6} \approx 2.449489742783178
\]

Since \(2.4494897...\) rounds to \( \sqrt{6} \), we can check if any of the given options matches \( \sqrt{6} \):

1. **\( \sqrt{6} \)** - This is our original value.
2. **\( \sqrt{3} \)** - This approximately equals \(1.732\), which is not equivalent.
3. **\( \sqrt{4} \)** - This equals \(2\), which is also not equivalent.
4. **\( 6^{1/5} \)** - This is the fifth root of 6. Calculating this value approximately gives:

\[
6^{1/5} \approx 1.430969
\]

None of these values besides \( \sqrt{6} \) matches \( 2.4494897...\).

Thus, the equivalent value of \(2.4494897...\) is:

\[
\sqrt{6}
\]