Find three different irrational numbers between the rational numbers $\frac{5}{7}$ and $\frac{9}{11}$.

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$\frac{5}{7}$ $=0 . \overline{714285}$

$\frac{9}{11}$ $=0 . \overline{81}$

As there are an infinite number of irrational numbers between $0 . \overline{714285}$ and $0 . \overline{81}$, any three of them can be :

$0.73073007300073000073 \ldots$

$0.75075007500075000075 \ldots $

$0 .79079007900079000079 \ldots$

Similar Questions

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$(i)$ $(5+\sqrt{7})(2+\sqrt{5})$

$(ii)$ $(5+\sqrt{5})(5-\sqrt{5})$

$(iii)$ $(\sqrt{3}+\sqrt{7})^{2}$

$(iv)$ $(\sqrt{11}-\sqrt{7})(\sqrt{11}+\sqrt{7})$

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$(i)$ $\frac{36}{100}$

$(ii)$ $\frac{1}{11}$

$(iii)$ $4 \frac{1}{8}$

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