Which of the following statement is correct?

The sum, product and division of two rational numbers is always a rational number.

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The sum, difference, product and division of two irrational numbers will always be an irrational number.

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Irrational numbers can be represented on the number line.

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The sum or difference of a rational number and an irrational number is rational.

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Solution

The correct option is C
Irrational numbers can be represented on the number line.

Each and every real number can be represented on a number line and since irrational forms a part of the real number, therefore it can also be represented on a number line.

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Similar questions

Which of the following is a true statement ?

(a) The sum of two irrational numbers is an irrational number.

(b) The product of two irrational numbers is an irrational number.

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

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.

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