What is the square root of 8?

The square root of 8, denoted as √8, is an irrational number.

• Simplification: It can be simplified to 2√2. This is because 8 can be factored into 4 * 2, and the square root of 4 is 2. So, √8 = √(4 * 2) = √4 * √2 = 2√2.

• Approximate Value: The approximate decimal value of √8 is 2.828427... It's a non-terminating, non-repeating decimal, characteristic of irrational numbers.

• Geometric Significance: √8 can represent the diagonal of a square with sides of length 2. By the Pythagorean theorem, the diagonal would be √(2² + 2²) = √8.