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

The closest perfect square less than 59 is 49. The closest perfect square greater than 59 is 64.

Now, we can think about the number 59 and how close it is to the smaller perfect square (49) and the larger perfect square (64).

Taking the square root of the perfect squares:
- The square root of 49 is 7.
- The square root of 64 is 8.

Based on this, we can estimate that the square root of 59 is closest to either 7 or 8.