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Question

Find $$2$$ rational and $$2$$ irrational number between $$\sqrt{2}$$ and $$\sqrt{3}$$.


Solution

$$\Rightarrow$$$$\sqrt 2=1.414$$
$$\Rightarrow$$$$\sqrt 3=1.732$$

So, $$2$$ rational numbers between $$\sqrt 2$$ and $$\sqrt 3$$
$$\cfrac{15}{10},\cfrac{16}{10}$$

Similarly $$2$$ irrational numbers between $$\sqrt 2$$ and $$\sqrt 3$$
$$\cfrac{\sqrt 2+\sqrt 3}{2},\cfrac{\sqrt 2+2}{2}$$

Maths

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