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