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Which of the following values is greater than \(\frac{9}{4}\) and less than \(\sqrt{6}\)?

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Answer and explanation

Correct answer: 2.4

\(\frac{9}{4}=2.25\) and \(\sqrt{6}\approx 2.449\). Thus, 2.4 lies between 2.25 and 2.449. Option B, 2.2, is less than \(\frac{9}{4}\), while 2.5 and 3.0 are greater than \(\sqrt{6}\). Exam tip: Convert the fraction and square root to suitable decimal approximations before comparing them.

Related tags

PolynomialsNumber-LineReal-NumbersInequalitiesFraction-And-Surds

Frequently asked questions

What is the correct answer to this question?

2.4

Why is this the correct answer?

\(\frac{9}{4}=2.25\) and \(\sqrt{6}\approx 2.449\). Thus, 2.4 lies between 2.25 and 2.449. Option B, 2.2, is less than \(\frac{9}{4}\), while 2.5 and 3.0 are greater than \(\sqrt{6}\). Exam tip: Convert the fraction and square root to suitable decimal approximations before comparing them.

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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