If an irrational number is to be chosen between (\sqrt{2}) and (\sqrt{3}), which option is definitely correct?

Since (2<\frac{5}{2}<3), (\sqrt{2}<\sqrt{\frac{5}{2}}<\sqrt{3}), and it is irrational. In exams compare by squaring.

This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Irrational numbers and real numbers.

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Answer and explanation

Correct answer: (\sqrt{\frac{5}{2}})

Since (2<\frac{5}{2}<3), (\sqrt{2}<\sqrt{\frac{5}{2}}<\sqrt{3}), and it is irrational. In exams compare by squaring.

What is the correct answer to this question?

(\sqrt{\frac{5}{2}})

Why is this the correct answer?

Since (2<\frac{5}{2}<3), (\sqrt{2}<\sqrt{\frac{5}{2}}<\sqrt{3}), and it is irrational. In exams compare by squaring.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Irrational numbers and real numbers.

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