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Which option explains the irrationality of (\sqrt{p}) incorrectly?

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Answer and explanation

Correct answer: If (p=36), (\sqrt{p}) is irrational

Step 1: (36) is a perfect square. Step 2: (\sqrt{36}=6), which is rational, so the statement for (p=36) is incorrect. Step 3: Checking perfect squares is the safest way to decide the nature of a square root.

Related tags

Concept CheckPerfect SquareIrrationalityClass 10

Frequently asked questions

What is the correct answer to this question?

If (p=36), (\sqrt{p}) is irrational

Why is this the correct answer?

Step 1: (36) is a perfect square. Step 2: (\sqrt{36}=6), which is rational, so the statement for (p=36) is incorrect. Step 3: Checking perfect squares is the safest way to decide the nature of a square root.

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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