What is the square root of 10?

The square root of 10 (√10) is an irrational number. This means it cannot be expressed as a simple fraction of two integers. Its decimal representation is non-terminating and non-repeating.

• Approximate Value: The square root of 10 is approximately 3.16227766. You can find more on the concept of Approximation.

• Irrationality: The proof that √10 is irrational is similar to the classic proof that √2 is irrational and relies on the properties of Prime%20Numbers.

• Representation: √10 can be represented geometrically. It is the length of the hypotenuse of a right triangle with legs of length 1 and 3 (by the Pythagorean%20Theorem).

• Applications: The square root of 10 appears in various mathematical and scientific contexts, including geometry, physics, and signal processing. You might encounter it, for example, when calculating distances in Euclidean%20Space.