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

Question

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

Answer 1

The closest perfect square less than 59 is 49 (7^2), and the closest perfect square greater than 59 is 64 (8^2).

To estimate √59, we can consider how close 59 is to these perfect squares. 59 is closer to 49 than it is to 64.

Taking the square root of 49, we have √49 = 7.

Therefore, the square root of 59, √59, is closest to 7.