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 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_________


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**.