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Which statement is correct about comparing \(\sqrt{80}\) and (9)?

Answer and explanation

Correct answer: \(\sqrt{80}<9\)

Since \(80<81=9^2\), and the square-root function increases for non-negative numbers, \(\sqrt{80}<\sqrt{81}=9\). Hence, option C is correct. Option B may look close, but \(\sqrt{80}\) is not equal to \(\sqrt{81}\). Exam tip: compare square roots by comparing the numbers with nearby perfect squares.

Related tags

Number SystemsSquare RootsReal NumbersComparisonPerfect SquaresMathematicsClass 9 Mcq

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