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Which number on the number line corresponds to \(\sqrt{9.61}\)?
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Answer and explanation
Correct answer: 3.1
The principal square root is positive. Since \(3.1^2=3.1\times3.1=9.61\), it follows that \(\sqrt{9.61}=3.1\). Option B is incorrect because \(3.01^2=9.0601\), not \(9.61\). In the exam, verify a decimal square by multiplying the number by itself.
Frequently asked questions
What is the correct answer to this question?
3.1
Why is this the correct answer?
The principal square root is positive. Since \(3.1^2=3.1\times3.1=9.61\), it follows that \(\sqrt{9.61}=3.1\). Option B is incorrect because \(3.01^2=9.0601\), not \(9.61\). In the exam, verify a decimal square by multiplying the number by itself.
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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