The term "293 root" seems to be referring to the mathematical operation of finding the root of 293. Since there is no explicit specification of the degree of the root, I will assume it refers to the square root. If you'd like a different root (e.g., cube root or fourth root), let me know!

Square Root of 293

The square root of $293$ is an irrational number. Approximating:

$\sqrt{293} \approx 17.117$

Steps to Approximate $\sqrt{293}$:

1. Identify two perfect squares between which $293$ lies: $17^2 = 289$ and $18^2 = 324$.
2. Since $293$ is closer to $289$, the square root is slightly above 17.
3. Using a numerical approximation method (e.g., Newton's Method), the refined value is $17.117$.

Would you like further details on the calculation process or another type of root?

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Related Questions:

1. What is the cube root of 293?
2. How can you estimate roots of non-perfect squares without a calculator?
3. What is the square of $\sqrt{293}$, and why does it return 293?
4. Can square roots be simplified further if the number isn't prime?
5. What is the significance of irrational numbers like $\sqrt{293}$ in mathematics?

Tip:

To estimate roots quickly, remember that they lie between the roots of the nearest perfect squares.