If \(n\) is a positive integer that is not a perfect square, which statement about \(\sqrt{n}\) is correct?
Answer and explanation
Correct answer: It is an irrational number and can be represented on the number line using a geometric construction.
When \(n\) is not a perfect square, \(\sqrt{n}\) is irrational. Its length can be obtained through a semicircle construction and marked from 0 on the number line. Exam tip: irrational does not mean unrepresentable.
Frequently asked questions
What is the correct answer to this question?
It is an irrational number and can be represented on the number line using a geometric construction.
Why is this the correct answer?
When \(n\) is not a perfect square, \(\sqrt{n}\) is irrational. Its length can be obtained through a semicircle construction and marked from 0 on the number line. Exam tip: irrational does not mean unrepresentable.
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.
