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Which option gives the correct decimal bound for ( \sqrt{57} ) on the number line?

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Answer and explanation

Correct answer: (7.5<\sqrt{57}<7.6)

(7.5^2=56.25) and (7.6^2=57.76), so ( \sqrt{57} ) lies between them. Check squares for decimal bounds.

Related tags

Number-LineDecimal-BoundsSquare-Root

Frequently asked questions

What is the correct answer to this question?

(7.5<\sqrt{57}<7.6)

Why is this the correct answer?

(7.5^2=56.25) and (7.6^2=57.76), so ( \sqrt{57} ) lies between them. Check squares for decimal bounds.

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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