Which of the following is not a rational number?

- \frac{2}{9}

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\frac{4}{- 7}

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\frac{- 3}{- 17}

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\frac{\sqrt{2}}{3}

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Solution

The correct option is D $\frac{\sqrt{2}}{3}$
A rational number is defined as the number which can be expressed in the form of $\frac{p}{q}$ , where $p$ and $q$ are integers and $q \neq 0$ .

$\sqrt{2} is not an integer.$

$Hence, \frac{\sqrt{2}}{3} is not a rational number.$

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Similar questions

Q. Which of the following is a rational number between

\frac{2}{3}

and

\frac{5}{7}

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

Q. Add the following rational numbers-

\frac{3}{7}, \frac{13}{17}

Choose the rational number which does not lie between $- \frac{2}{3}$ and $- \frac{1}{5}$

(a) $- \frac{3}{10}$

(b) $\frac{3}{10}$

(d) $- \frac{7}{20}$

(a) Arrange the rational numbers $\frac{- 7}{10}$ , $\frac{5}{- 8}$ , $\frac{2}{- 3}$ in ascending order.

(b) Arrange the rational numbers $\frac{4}{3}$ , $\frac{17}{2}$ , $\frac{5}{18}$ in ascending order.

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Which of the following is not a rational number?

The correct option is D √23A rational number is defined as the number which can be expressed in the form of pq, where p and q are integers and q≠0. √2 is not an integer. Hence, √23 is not a rational number.

The correct option is D $\frac{\sqrt{2}}{3}$
A rational number is defined as the number which can be expressed in the form of $\frac{p}{q}$ , where $p$ and $q$ are integers and $q \neq 0$ .

$\sqrt{2} is not an integer.$

$Hence, \frac{\sqrt{2}}{3} is not a rational number.$