Question
Show an example of a rational number that is between square 10 and square 11. A. 3/4 b. 10/3 c. 3.1 d. 16/5
Answers
Answered by
GPT 3.5
We know that the square of 10 is 100 and the square of 11 is 121.
Therefore, a rational number between square 10 and square 11 would be a number whose square is between 100 and 121.
Calculating the square root of each option:
- A. square root of 3/4 ≈ 0.87
- B. square root of 10/3 ≈ 1.82
- C. square root of 3.1 ≈ 1.76
- D. square root of 16/5 = 1.8
Therefore, the rational number that is between square 10 and square 11 is option D: 16/5.
Therefore, a rational number between square 10 and square 11 would be a number whose square is between 100 and 121.
Calculating the square root of each option:
- A. square root of 3/4 ≈ 0.87
- B. square root of 10/3 ≈ 1.82
- C. square root of 3.1 ≈ 1.76
- D. square root of 16/5 = 1.8
Therefore, the rational number that is between square 10 and square 11 is option D: 16/5.
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