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

Answers: perfect, between, 49, 64, square, 7, 6, non perfect, 8, 9, cube.

Answer 1

If I 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. 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 √59. The √59 is closest to 7.