What is the square root of 13?

The square root of 13, denoted as √13, is an irrational number. This means it cannot be expressed as a simple fraction of two integers.

  • Value: The approximate decimal value of √13 is 3.605551275...

  • Nature: Because 13 is a prime number, its square root is an irrational%20number.

  • Location on the number line: √13 lies between the integers 3 and 4 on the number%20line, being closer to 4 since 3.605... is closer to 4 than to 3. It is also between √9 (which is 3) and √16 (which is 4).

  • Algebraic Significance: √13 appears in various mathematical contexts, including geometry (e.g., the length of the hypotenuse of a right triangle with sides of length 2 and 3 is √13) and quadratic%20equations.