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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.

Related tags

Number SystemsIrrational NumbersSquare RootsPerfect SquaresWhole NumbersMathematicsClass 9 Mcq

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