Which number lies between (\sqrt{3}) and (2) on the number line?
Answer and explanation
Correct answer: (1.8)
To locate a number between \sqrt{3} and 2, first estimate the irrational endpoint. Since 1.7^2=2.89 and 1.8^2=3.24, \sqrt{3} is approximately 1.732, so the required interval is about (1.732,2). The number 1.8 lies inside this interval, making option B correct. Although 1.6 is less than \sqrt{3}, 2.1 and 3 are both greater than 2. Thus the other options cannot lie strictly between the two endpoints. Comparing squares or using a reliable decimal approximation avoids treating \sqrt{3} as exactly 1.7 or 1.8.
Frequently asked questions
What is the correct answer to this question?
(1.8)
Why is this the correct answer?
To locate a number between \sqrt{3} and 2, first estimate the irrational endpoint. Since 1.7^2=2.89 and 1.8^2=3.24, \sqrt{3} is approximately 1.732, so the required interval is about (1.732,2). The number 1.8 lies inside this interval, making option B correct. Although 1.6 is less than \sqrt{3}, 2.1 and 3 are both greater than 2. Thus the other options cannot lie strictly between the two endpoints. Comparing squares or using a reliable decimal approximation avoids treating \sqrt{3} as exactly 1.7 or 1.8.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Representing real numbers on the number line.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
