Today, I’m going to tell you how to estimate the square root of 75. First, you find the closest square roots to your other square root. Second, you try to find the middle between the two closest squares. The two squares for 75 is 64 and 81. Then you would use 8.5 because the middle of 8 and 9 is 8.5. Next, you would subtract 64.0 and 08.5. The answer would turn out to be 72.5. Then look to see if 75 is closer to 81 or 64.  75 is unfortunately closer to 81 than 64. I then would estimate my answer to around 8.7. I would check my answer to be around 75.69 so my answer is very close to my estimate.