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

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. The closest perfect square greater than 59 is 64.

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

To estimate √59, you can take the square root of the perfect squares that 59 lies between, which are 7 and 8.

The square root of 49 is 7 and the square root of 64 is 8.

Since 59 is closer to 64 than to 49, √59 is closest to 8.