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Before placing \(\sqrt{440}\) on the number line using a square root spiral, which interval is correct?

Answer and explanation

Correct answer: \(20<\sqrt{440}<21\)

\(20^2=400\) and \(21^2=441\). Since \(400<440<441\), taking square roots gives \(20<\sqrt{440}<21\). Although it is close to \(21\), \(\sqrt{440}\) is less than \(21\) because \(440<441\). Exam tip: To locate a square root, compare the number with consecutive perfect squares.

Related tags

Square Root SpiralNumber LineIrrational NumbersPerfect SquaresNumber SystemsMathematicsClass 9 Mcq

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