What is the square root of 8?

The square root of 8 (√8) is an irrational number, meaning it cannot be expressed as a simple fraction. Here's what we know about it:

• Simplified Radical Form: √8 can be simplified. Since 8 = 4 x 2, and 4 is a perfect square, we can simplify it as follows: √8 = √(4 x 2) = √4 x √2 = 2√2

• Approximate Decimal Value: 2√2 is approximately equal to 2.828

• Properties: Like all square roots, √8 is a number that when multiplied by itself equals 8. (2√2 * 2√2 = 8)

• Geometric Interpretation: Geometrically, √8 represents the length of the diagonal of a square with sides of length 2. This is derived from the Pythagorean theorem (a² + b² = c²). In this case, 2² + 2² = 8, so the diagonal (c) is √8.