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Class 10MathematicsReal NumbersIrrational numbersExpertLevel 13

Which number is an irrational number between (1) and (2), but greater than (\sqrt{2})?

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Answer and explanation

Correct answer: (\sqrt{3})

Step 1: (\sqrt{3}) is about (1.732), so it lies between (1) and (2). Step 2: Since (3>2), (\sqrt{3}>\sqrt{2}). Step 3: For positive square roots, compare the numbers inside the roots.

Tags

number linecomparison of irrationalsclass 10

Frequently asked questions

What is the correct answer to this question?

(\sqrt{3})

Why is this the correct answer?

Step 1: (\sqrt{3}) is about (1.732), so it lies between (1) and (2). Step 2: Since (3>2), (\sqrt{3}>\sqrt{2}). Step 3: For positive square roots, compare the numbers inside the roots.

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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