Which of the following numbers lies between (3) and (4) and is irrational?
Answer and explanation
Correct answer: (\sqrt{10})
Step 1: Since (9<10<16), we get (3<\sqrt{10}<4). Step 2: (10) is not a perfect square, so (\sqrt{10}) is irrational. Step 3: Use nearby perfect squares to locate square roots.
Frequently asked questions
What is the correct answer to this question?
(\sqrt{10})
Why is this the correct answer?
Step 1: Since (9<10<16), we get (3<\sqrt{10}<4). Step 2: (10) is not a perfect square, so (\sqrt{10}) is irrational. Step 3: Use nearby perfect squares to locate square roots.
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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