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Which number is an irrational number between (3) and (4)?
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Answer and explanation
Correct answer: (\sqrt{10})
Step 1: (3=\sqrt{9}) and (4=\sqrt{16}). Step 2: (10) is not a perfect square and (9<10<16), so (\sqrt{10}) is an irrational number between (3) and (4). Step 3: A non-perfect square between two square numbers helps find an irrational number between two integers.
Frequently asked questions
What is the correct answer to this question?
(\sqrt{10})
Why is this the correct answer?
Step 1: (3=\sqrt{9}) and (4=\sqrt{16}). Step 2: (10) is not a perfect square and (9<10<16), so (\sqrt{10}) is an irrational number between (3) and (4). Step 3: A non-perfect square between two square numbers helps find an irrational number between two 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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