The square root of 65 is approximately 8.0623. To understand how we arrive at this number, let’s break it down.
In mathematics, the square root of a number is a value that, when multiplied by itself, gives the original number. For instance, the square root of 64 is 8 because 8 x 8 equals 64.
Since 65 is not a perfect square, we can’t find a whole number that fits. However, we can estimate. The perfect squares closest to 65 are 64 (which has a square root of 8) and 81 (which has a square root of 9). This tells us that the square root of 65 must be somewhere between 8 and 9.
Using a calculator or a method like the Babylonian method, we find that the square root of 65 is approximately 8.0623. This means that if you multiply 8.0623 by itself, you will get very close to 65.