Which whole number lies between \(\sqrt{11}\) and \(\sqrt{15}\)?
Answer and explanation
Correct answer: No whole number
Since \(9<11<15<16\), we have \(3<\sqrt{11}<\sqrt{15}<4\). Both square roots lie between 3 and 4, and there is no other whole number between these consecutive whole numbers. Thus, 3 is smaller than \(\sqrt{11}\), while 4 is greater than \(\sqrt{15}\). Exam tip: compare with nearby perfect squares to locate square roots quickly.
Frequently asked questions
What is the correct answer to this question?
No whole number
Why is this the correct answer?
Since \(9<11<15<16\), we have \(3<\sqrt{11}<\sqrt{15}<4\). Both square roots lie between 3 and 4, and there is no other whole number between these consecutive whole numbers. Thus, 3 is smaller than \(\sqrt{11}\), while 4 is greater than \(\sqrt{15}\). Exam tip: compare with nearby perfect squares to locate square roots quickly.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Irrational numbers.
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