The square root of 89 is approximately 9.434.
To explain how this is determined, we start by recognizing that the square root of a number is a value that, when multiplied by itself, gives the original number. In this case, we’re looking for a number that, when squared, equals 89.
Since 89 is not a perfect square (it is not the square of any whole number), we estimate its square root. Between the squares of 9 (which is 81) and 10 (which is 100), we find that the square root of 89 lies between these two numbers.
To get a more precise answer, using a calculator or a method like the Newton-Raphson method will yield the approximate value of 9.434. This means that if you multiply 9.434 by itself, you will get close to 89.