If I wanted to estimate 59−−√, the first step would be to find the two Response area squares that 59 lies Response area on the number line. The closest perfect square less than 59 is Response area. The closest perfect square greater than 59 is Response area. 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 Response area root of the perfect squares to see how I would estimate 59−−√. The 59−−√ is closest to

If you wanted to estimate √59, the first step would be to find the two perfect squares that 59 lies between on the number line. The closest perfect square less than 59 is 49 (7^2). The closest perfect square greater than 59 is 64 (8^2).

You could then think about the number 59 and how close it is to the smaller perfect square (49) and the larger perfect square (64).

Since 59 is closer to 64, you would take the square root of 64 to see how you would estimate √59. The square root of 64 is 8.

Therefore, the estimated value of √59 is closest to 8.