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Which is the most suitable estimate of ( \sqrt{18}-\sqrt{17} ) on the number line?

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Answer and explanation

Correct answer: (0.12)

( \sqrt{18}\approx4.243 ) and ( \sqrt{17}\approx4.123 ), so the difference is about (0.12). The difference of nearby roots is small.

Related tags

Number-LineRoot-DifferenceEstimation

Frequently asked questions

What is the correct answer to this question?

(0.12)

Why is this the correct answer?

( \sqrt{18}\approx4.243 ) and ( \sqrt{17}\approx4.123 ), so the difference is about (0.12). The difference of nearby roots is small.

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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