Answer:
See below.
Step-by-step explanation:
1. sqrt(8)
2^2 = 4; 3^2 = 9
sqrt(8) is between 2 and 3, but it is closer to 3 than to 2.
2.7^2 = 7.29 too low
2.8^2 = 7.84 too low
2.9^2 = 8.41 too high
sqrt(8) is between 2.8 and 2.9
Answer: 2.8 and 2.9
2. sqrt(14)
3^2 = 9; 4^2 = 16
sqrt(14) is between 3 and 4, but it is closer to 4 than to 3.
3.7^2 = 13.69 too low
3.8^2 = 14.44 too high
sqrt(14) is between 3.7 and 3.8
Answer: 3.7 and 3.8
3. sqrt(20)
4^2 = 16; 5^2 = 25
sqrt(20) is between 4 and 5
4.3^2 = 18.49 too low
4.4^2 = 19.36 too low
4.5^2 = 20.25 too high
sqrt(20) is between 4.4 and 4.5
Answer: 4.4 and 4.5
4. sqrt(66)
8^2 = 64; 9^2 = 81
sqrt(64) is between 8 and 9, but it is closer to 8 than to 9.
8.0^2 = 64 too low
8.1^2 = 65.61 too low
8.2^2 = 67.24 too high
sqrt(66) is between 8.1 and 8.2
Answer: 8.1 and 8.2
