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Class 10MathematicsReal NumbersProof of irrationality of √2, √3, √5EasyLevel 18

Which square root is rational, so an irrationality proof like (\sqrt{2}) does not apply to it?

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Answer and explanation

Correct answer: (\sqrt{4})

Step 1: (4) is a perfect square. Step 2: (\sqrt{4}=2), which is rational. Step 3: Square roots of perfect squares are rational.

Tags

perfect squarerational square rootclass 10

Frequently asked questions

What is the correct answer to this question?

(\sqrt{4})

Why is this the correct answer?

Step 1: (4) is a perfect square. Step 2: (\sqrt{4}=2), which is rational. Step 3: Square roots of perfect squares are rational.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Proof of irrationality of √2, √3, √5.

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