Insert a rational number and an irrational number between the following:
$\sqrt{2}$ and $\sqrt{3}$
Insert a rational number and an irrational number between the following:
$\sqrt{2}$ and $\sqrt{3}$
$\sqrt{2}=1.4142135 \ldots$ and $\sqrt{3}=1.732050807 \ldots$
Now, $1.5$ (a terminating decimal) which lies between $1.4142135 \ldots$ and $1.732050807 \ldots$ Hence,$1.5$ is a rational number between $\sqrt{2}$ and $\sqrt{3}$.
Again,$1.575575557 ...$ (a non - terminating and non - recurring decimal) is an irrational number lying between $\sqrt{2}$ and $\sqrt{3}$.
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