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 lager perfect square. i could then take the__________ root of the perfect squares to see how i would estimate square root 59. the root of 59 is closest to_________

Question

answers i have is

9

cube

6

8

7

non- perfect

square

64

49

between

perfect

Answer 1

Here’s how to fill in the blanks correctly based on your structure:

If I wanted to estimate \(\sqrt{59}\), 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. 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 \(\sqrt{59}\). The root of 59 is closest to 7.

So, to summarize correctly, your filled answer becomes:

If I wanted to estimate \(\sqrt{59}\), 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. 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 \(\sqrt{59}\). The root of 59 is closest to 7.