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The product of a non-zero rational numbe...

The product of a non-zero rational number with an irrational number is always a/an

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State true or false: (i) Negative of an irrational number is irrational . (ii) The product of a non- zero rational number and an irrational number is a rational number.

The product of a non-zero rational number and an irrational number is irrational.

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Consider the following statements (i) The sum of a rational number with an irrational number is always irrationa. (ii) The product of two rational numbers is always rational. (iii) The product of two irrationals is always irrationals. (iv) The sum of two rational is always rational. (v) The sum of two irrationals is always irrational. The correct order of True/False of above statements is :

Consider the following statements (i) The sum of a rational number with an irrational number is always irrationa. (ii) The product of two rational numbers is always rational. (iii) The product of two irrationals is always irrationals. (iv) The sum of two rational is always rational. (v) The sum of two irrationals is always irrational. The correct order of True/False of above statements is :

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The product of zero and any rational number is 1.