If I wanted to estimate √59, the first step would be to find the two between squares that 59 ___ on the number line. The closest perfect square less than 59 is 49. The closest perfect square greater than 59 is 64 . I could then think about the number 59 and how close it is to the smaller perfect square and the larger perfect square. I could then take the square root of the perfect squares to see how I would estimate √59. The √59 is closest to ___.
The square root of 59 would be estimated by considering the distance between 59 and the nearest perfect squares, which are 49 and 64. The square root of 49 is 7, and the square root of 64 is 8. Since 59 is closer to 64, the estimate √59 is closest to 8.
