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Which number does \(\sqrt{9}\) represent on the number line?
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Answer and explanation
Correct answer: \(3\)
Since \(9=3^2\), \(\sqrt{9}=3\), so it represents the point 3 on the number line. Although \((-3)^2=9\), the square-root symbol denotes the principal, non-negative root. Exam tip: remember that \(\sqrt{a^2}=|a|\), not always \(a\).
Frequently asked questions
What is the correct answer to this question?
\(3\)
Why is this the correct answer?
Since \(9=3^2\), \(\sqrt{9}=3\), so it represents the point 3 on the number line. Although \((-3)^2=9\), the square-root symbol denotes the principal, non-negative root. Exam tip: remember that \(\sqrt{a^2}=|a|\), not always \(a\).
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.
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