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Which statement about \(\sqrt{26}\) and \(\sqrt{27}\) in a square root spiral is correct?

Answer and explanation

Correct answer: Both are between \(5\) and \(6\)

Since \(5^2=25\) and \(6^2=36\), we have \(25<26<36\) and \(25<27<36\). Hence, \(5<\sqrt{26}<6\) and \(5<\sqrt{27}<6\). Option B is incorrect because \(\sqrt{27}\) is also less than \(6\). Exam tip: To locate a square root, compare the number with the nearest perfect squares on either side.

Related tags

Square Root SpiralSquare RootsNumber ComparisonPerfect SquaresNumber SystemsMathematicsClass 9 Mcq

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