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.
Frequently asked questions
What is the correct answer to this question?
4.3
Why is this the correct answer?
\(\sqrt{18}\approx 4.243\) 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.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Representing real numbers on the number line.
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