Question

What is the product of two irrational numbers? Justify your answer with examples.

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Answer 1

Answer:

• Product of two irrational numbers is rational or irrational.

Step-by-step explanation:

Irrational numbers :

• They cannot be expressed as the ratio of two whole numbers, their decimal representation is neither repeating, terminating. Square roots, cube roots of natural numbers can be examples of irrational numbers, if their exact values cannot be found.

Examples :

• √2, √3, cube root of 7 etc..
• √25 is rational, as √25 = 5, it can be expressed in the form p/q which is 5/1.

Product of two irrational numbers :

• Product of two irrational numbers is rational or irrational.

Examples :

• √3 × √3 = √3 × 3 = √9 which is 3. 3 can be expressed in the form p/q which is 3/1.
• √2 × √10 = √2 × 10 = √20 which is irrational.

Learn more:

Rational numbers :

• It is a number which can be expressed in the form p/q, where p and q are integers and q ≠ 0.