Which of the following rational number lies between $\sqrt{2}$ and $\sqrt{3}$

\frac{11}{7}

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\frac{22}{9}

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\frac{11}{9}

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\frac{13}{7}

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Solution

The correct option is B $\frac{11}{7}$
$\sqrt{2} ≃ 1.4142$
and $\sqrt{3} ≃ 1.732$
In option A $\Rightarrow \frac{11}{7} ≃ 1.57$
$\sqrt{2} < \frac{11}{7} < \sqrt{3}$
A is answer

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Similar questions

Using commutativity and associativity of addition of rational numbers, express each of the following as a rational number:

(i) $\frac{2}{5} + \frac{7}{3} + \frac{- 4}{5} + \frac{- 1}{3}$

(ii) $\frac{3}{7} + \frac{- 4}{9} + \frac{- 11}{7} + \frac{7}{9}$

(iii) $\frac{2}{5} + \frac{8}{3} + \frac{- 11}{15} + \frac{4}{5} + \frac{- 2}{3}$

(iv) $\frac{4}{7} + 0 + \frac{- 8}{9} + \frac{- 13}{7} + \frac{17}{21}$

\frac{7}{11}

\frac{11}{13}

\frac{4}{9}

\frac{- 13}{7}

\frac{5}{- 11}

\frac{- 11}{- 14}

\frac{9}{11}

\frac{5}{7} .

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