What is the square root of 20?

The square root of 20, denoted as √20, is an irrational number. It represents the positive real number that, when multiplied by itself, equals 20.

  • Value: √20 is approximately equal to 4.472.

  • Simplification: √20 can be simplified. Since 20 = 4 * 5, we can express √20 as √(4 * 5) = √4 * √5 = 2√5. This simplification is useful in various mathematical contexts. Learn more about the concept of simplifying square roots.

  • Rational vs. Irrational: The square root of 20 is an irrational number, meaning it cannot be expressed as a simple fraction p/q, where p and q are integers. Its decimal representation is non-repeating and non-terminating.

  • Applications: The square root of 20 appears in geometry (e.g., the diagonal of a rectangle), algebra, and various scientific calculations. Also, it can be expressed in terms of perfect squares for simplification.