4 6 Estimating Square Roots Additional Example 1

4 -6 Estimating Square Roots Additional Example 1 A: Estimating Square Roots of Numbers Each square root is between two integers. Name the integers. Explain your answer. 55 Think: What are perfect squares close to 55? 72 = 49 49 < 55 82 = 64 64 > 55 55 is between 7 and 8 because 55 is between 49 and 64. Course 3

4 -6 Estimating Square Roots Additional Example 1 B: Estimating Square Roots of Numbers Continued Each square root is between two integers. Name the integers. Explain your answer. Think: What are perfect – 90 squares close to 90? – 92 = 81 81 < 90 – 102 = 100 > 90 – 90 is between – 9 and – 10 because 90 is between 81 and 100. Course 3

4 -6 Estimating Square Roots Check It Out: Example 1 A Each square root is between two integers. Name the integers. Explain your answer. 80 Think: What are perfect squares close to 80? 82 = 64 64 < 80 92 = 81 81 > 80 80 is between 8 and 9 because 80 is between 64 and 81. Course 3

4 -6 Estimating Square Roots Check It Out: Example 1 B Each square root is between two integers. Name the integers. – 45 Think: What are perfect squares close to 45? – 62 = 36 36 < 45 – 72 = 49 49 > 45 – 45 is between – 6 and – 7 because 45 is between 36 and 49. Course 3

4 -6 Estimating Square Roots Check It Out: Example 2 You want to build a fence around a square garden that is 250 square feet. Calculate the length of one side of the garden and the total length of the fence, to the nearest tenth. The area is 250 sq. ft. , so to find a side you have to find the square root of 250 to “undo” the square. Because 250 is between 152 and 162, the square root of 250 is between 15 and 16. Course 3

4 -6 Estimating Square Roots Lesson Quiz Each square root is between two integers. Name the two integers. 1. 27 5 and 6 2. – 456 – 22 and – 21 Use a calculator to find each value. Round to the nearest tenth. 3. 89 9. 4 4. 1223 35. 0 5. A square field has an area of 2000 square feet. To the nearest foot, how much fencing would be needed to enclose the field? 179 ft Course 3