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Which number does \(\sqrt{7.84}\) represent on the number line?

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Answer and explanation

Correct answer: \(2.8\)

Since \(2.8^2=2.8\times2.8=7.84\), we have \(\sqrt{7.84}=2.8\). The nearby choices are incorrect because \(2.7^2=7.29\) and \(2.9^2=8.41\). In an exam, squaring the options is a quick way to verify a decimal square root.

Related tags

Number LinePolynomialsReal NumbersDecimal Square RootSquare Roots

Frequently asked questions

What is the correct answer to this question?

\(2.8\)

Why is this the correct answer?

Since \(2.8^2=2.8\times2.8=7.84\), we have \(\sqrt{7.84}=2.8\). The nearby choices are incorrect because \(2.7^2=7.29\) and \(2.9^2=8.41\). In an exam, squaring the options is a quick way to verify a decimal square root.

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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