Find out the square root of 73.

To find the square root of 73, we can use the following method:

Estimate the range: We know that 8² = 64 and 9² = 81. Since 73 is between 64 and 81, the square root of 73 will be between 8 and 9.

Use a more refined approach (using decimals): Start with 8.5 as a rough estimate and refine it through a process known as approximation.

Let's start by testing 8.5:

8.5² = 72.25, which is slightly less than 73.
Now try 8.6:

8.6² = 73.96, which is slightly greater than 73.
Thus, the square root of 73 is between 8.5 and 8.6.

Refining further: To get a more precise answer, we can narrow it down further. For simplicity, we can estimate that the square root of 73 is approximately 8.544.
Thus, the square root of 73 is approximately 8.544.