The square root of 13 is an irrational number, which means it can’t be expressed as a simple fraction. The approximate value of the square root of 13 is about 3.60555.
To understand why we arrive at this value, consider that the square root of a number is a value that, when multiplied by itself, gives the original number. In this case, since 3.6 × 3.6 equals approximately 12.96, and 3.7 × 3.7 equals about 13.69, we know that the square root of 13 lies between these two numbers. Using a calculator or numerical methods gives us a more precise estimate of about 3.60555.