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What is the nature of the product of (\sqrt{2}) and (\sqrt{5})?
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Answer and explanation
Correct answer: Irrational
Step 1: (\sqrt{2}\times\sqrt{5}=\sqrt{10}). Step 2: (10) is not a perfect square, so (\sqrt{10}) is irrational. Step 3: After multiplication, check the number inside the new root.
Frequently asked questions
What is the correct answer to this question?
Irrational
Why is this the correct answer?
Step 1: (\sqrt{2}\times\sqrt{5}=\sqrt{10}). Step 2: (10) is not a perfect square, so (\sqrt{10}) is irrational. Step 3: After multiplication, check the number inside the new 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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