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Which value lies between \(\sqrt{18}\) and \(\sqrt{19}\) on the number line?

Answer and explanation

Correct answer: 4.3

\(\sqrt{18}\approx 4.243\) and \(\sqrt{19}\approx 4.359\). Since \(4.243<4.3<4.359\), the value 4.3 lies between the two square roots. The value 4.1 is less than \(\sqrt{18}\), while 4.5 is greater than \(\sqrt{19}\). In the exam, estimate the decimal values of the relevant square roots to compare them quickly.

Related tags

Number LineSquare RootsDecimal EstimationReal NumbersRepresenting Real Numbers On The Number LinePolynomialsMathematicsClass 10 Mcq

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