A rational number between sqrt{2} and sqrt{3} | vedclass

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Question

(A) We know that $\sqrt{2} \approx 1.414$ and $\sqrt{3} \approx 1.732$.$A$ rational number is a number that can be expressed in the form $\frac{p}{q}$

Vedclass · Accepted Answer

$1.5$

Vedclass · Answer

(A) We know that $\sqrt{2} \approx 1.414$ and $\sqrt{3} \approx 1.732$.$A$ rational number is a number that can be expressed in the form $\frac{p}{q}$,where $p$ and $q$ are integers and $q 
eq 0$.Comparing the given options:$1.5 = \frac{15}{10} = \frac{3}{2}$,which is a rational number.Since $1.414 Option $B$ and $C$ involve irrational numbers,so they are not rational numbers.Option $D$ $(1.8)$ is greater than $\sqrt{3} \approx 1.732$,so it does not lie between them.Therefore,$1.5$ is the correct rational number.

$A$ rational number between $\sqrt{2}$ and $\sqrt{3}$ is

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