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If (2+\sqrt{n}) is irrational and (n) is a positive integer, which (n) is suitable?
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Answer and explanation
Correct answer: (40)
Step 1: (2) is rational. So (2+\sqrt{n}) is irrational when (\sqrt{n}) is irrational. Step 2: (40) is not a perfect square, so (\sqrt{40}) is irrational. Step 3: First eliminate perfect squares from the given integers.
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What is the correct answer to this question?
(40)
Why is this the correct answer?
Step 1: (2) is rational. So (2+\sqrt{n}) is irrational when (\sqrt{n}) is irrational. Step 2: (40) is not a perfect square, so (\sqrt{40}) is irrational. Step 3: First eliminate perfect squares from the given integers.
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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