estimate of the square root of 5 and explain

The estimate of the square root of 5 is approximately 2.236. This is because the perfect square that is closest to 5 is 4, which has a square root of 2. Therefore, we can estimate that the square root of 5 is slightly larger than 2 but smaller than 3. More specifically, we can use a calculator to find that the actual value of the square root of 5 is approximately 2.2360679775.

It is important to note that this is only an estimate, and the actual value of the square root of 5 is irrational and goes on infinitely without repeating. We can use approximations or decimal representations to estimate the value, but we can never express the square root of 5 as a rational number or simple fraction.