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Which option is a correct example that makes (\sqrt{a}\times\sqrt{b}) rational?
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Answer and explanation
Correct answer: (a=3,b=12)
Step 1: (\sqrt{a}\times\sqrt{b}=\sqrt{ab}). Step 2: For (a=3,b=12), (ab=36), so (\sqrt{36}=6), which is rational. Step 3: Check whether the product inside the radical becomes a perfect square.
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What is the correct answer to this question?
(a=3,b=12)
Why is this the correct answer?
Step 1: (\sqrt{a}\times\sqrt{b}=\sqrt{ab}). Step 2: For (a=3,b=12), (ab=36), so (\sqrt{36}=6), which is rational. Step 3: Check whether the product inside the radical 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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