 # Selina Solutions Class 9 Mathematics Solutions for Exercise 1(B) in Chapter 1 - Chapter 1- Rational and Irrational Numbers

Write three rational numbers between √𝟑 𝒂𝒏𝒅 √𝟓.

Let us take any two rational numbers between 3 and 5 which are perfect

squares.

For example, let us consider, 3.24, 3.61, 4, 4.41 and 4.84

Now, \begin{aligned} &\text { Thus we have, }\\ &\sqrt{3}<\sqrt{3.24}<\sqrt{3.61}<\sqrt{4}<\sqrt{4.41}<\sqrt{4.84}<\sqrt{5}\\ &\Rightarrow \sqrt{3}<1.8<1.9<2<2.1<2.2<\sqrt{5}\\ &\Rightarrow \sqrt{3}<\frac{18}{10}<\frac{19}{10}<2<\frac{21}{10}<\frac{22}{10}<\sqrt{5}\\ &\Rightarrow \sqrt{3}<\frac{9}{5}<\frac{19}{10}<2<\frac{21}{10}<\frac{11}{5}<\sqrt{5} \end{aligned} \begin{aligned} &\text { Therefore, any three rational numbers between } \sqrt{3} \text { and } \sqrt{5} \text { are: }\\ &\frac{9}{5}, \frac{19}{10} \text { and } \frac{21}{10} \end{aligned}

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