Question

The product of two different irrational numbers is always (a) rational (b) irrational (c) both of above (d) none of above

Answer 1

Answer:

The answer is (c) both of above

Step-by-step explanation:

Since The product of two different irrational numbers may be rational or may be irrational

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Answer 2

(b) Irrational

The product of two different irrational numbers is always irrational.

A short explanation:

Definition of irrational numbers. The real numbers, which cannot be expressed as the fraction p/q, where both p and q are integers with non zero q, are called irrational numbers.

For example, √2, - √7, π, etc.

• The product of two irrational numbers can be one of rational and irrational. •

• When we find the product of two same irrational numbers, their product is rational. For example, √3 × √3 = 3, a rational number.

• When we find the product of two different irrational numbers, their product is always irrational. For example, √2 × √3 = √6, an irrational number.

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