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If (\sqrt{n}) lies between (4) and (5), which value of (n) is possible and makes (\sqrt{n}) irrational?
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Answer and explanation
Correct answer: (20)
Step 1: (4<\sqrt{n}<5) means (16<n<25). Step 2: (20) lies in this interval and is not a perfect square, so (\sqrt{20}) is irrational. Step 3: In square-root inequalities, square the bounds to form the interval.
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What is the correct answer to this question?
(20)
Why is this the correct answer?
Step 1: (4<\sqrt{n}<5) means (16<n<25). Step 2: (20) lies in this interval and is not a perfect square, so (\sqrt{20}) is irrational. Step 3: In square-root inequalities, square the bounds to form the interval.
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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