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Class 10MathematicsReal NumbersIrrational numbersMediumLevel 14

In which option is the given number irrational and less than (5)?

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Answer and explanation

Correct answer: (\sqrt{24})

Step 1: (\sqrt{24}) is irrational because (24) is not a perfect square. Step 2: Since (16<24<25), (4<\sqrt{24}<5). Step 3: In condition-based questions, check both irrationality and range.

Tags

real-numbersirrational-less-thancomparison

Frequently asked questions

What is the correct answer to this question?

(\sqrt{24})

Why is this the correct answer?

Step 1: (\sqrt{24}) is irrational because (24) is not a perfect square. Step 2: Since (16<24<25), (4<\sqrt{24}<5). Step 3: In condition-based questions, check both irrationality and range.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Irrational numbers.

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