0.2359872785........... is a rational or irrational number

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Solution

Non-terminating + Non-recurring numbers are considered IRRATIONAL numbers.
Since the given number is non terminating as well as non-recurring( digits after the decimal point do not follow a recurring pattern), it is irrational.

Hence 0.2359872785...... is irrational.

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Similar questions

State, in each case, whether the given statement is true or false.

(i) The sum of two rational numbers is rational.

(ii) The sum of two irrational numbers is irrational.

(iii) The product of two rational numbers is rational.

(iv) The product of two irrational numbers is irrational.

(v) The sum of a rational number and an irrational number is irrational.

(vi) The product of a nonzero rational number and an irrational number is a rational number.

(vii) Every real number is rational.

(viii) Every real number is either rational or irrational.

(ix) $π$ is irrational and $\frac{22}{7}$ is rational.

Every Real number is either a Rational number or Irrational Number.

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