The product of two irrational numbers is an irrational number (True/False).

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Solution

The product of two irrational numbers is an irrational number (True/False)
False
Reason:
Let us assume the two irrational numbers be and
Sometimes, it is and sometimes it isn't.
And are both irrational as their product is
Nowand are both irrational but their product, is rational (in fact, it equals 4)

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Similar questions

Product of two irrational number is always an irrational number.

The sum of two irrational numbers is an irrational numbers(True/False). Give reason for your answer.

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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