To find the square root of $7.5967426533689695$, we can calculate its approximate value. Let's compute:

$\sqrt{7.5967426533689695} \approx 2.755$

Thus, the closest square root is approximately 2.755.

Would you like a detailed explanation of how to compute square roots or more on approximations?

Related Questions:

1. What are the properties of square roots and their applications?
2. How do you approximate square roots without a calculator?
3. What is the square of 2.755, and how close is it to 7.5967426533689695?
4. Can you explain the Newton-Raphson method for finding square roots?
5. How do square roots behave for negative numbers in the complex number system?

Tip: For non-perfect squares, methods like long division or estimation by approximation can be useful to compute square roots manually.