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Which pair shows that the quotient of two irrational numbers can be rational?
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Answer and explanation
Correct answer: (\sqrt{12}) and (\sqrt{3})
Step 1: (\sqrt{12}=2\sqrt{3}) and (\sqrt{3}) are both irrational. Step 2: (\frac{\sqrt{12}}{\sqrt{3}}=\sqrt{4}=2), which is rational. Step 3: In quotients, check whether the value inside the root becomes a perfect square.
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What is the correct answer to this question?
(\sqrt{12}) and (\sqrt{3})
Why is this the correct answer?
Step 1: (\sqrt{12}=2\sqrt{3}) and (\sqrt{3}) are both irrational. Step 2: (\frac{\sqrt{12}}{\sqrt{3}}=\sqrt{4}=2), which is rational. Step 3: In quotients, check whether the value inside the root becomes a perfect square.
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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