Question

Is product of a rational number and an irrational
number, a rational number? Is product of two
irrational numbers, a rational number or an
irrational number? Justify by giving examples.​

Answer 1

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The product of a rational number and an irrational number can be a rational number or an irrational number.

Examples:

i. rational number = 0

irrational number = √2 => 0 x √2 = 0, which is a rational number.

ii. rational number = 2

irrational number = √2 =>  2 x √2 = 2√2 , which is an irrational number.

The product of two irrational numbers can be a rational number or an irrational number.

Examples:

i. √2 x √2 = √4 = 2, which is a rational number

ii. √2 x √3 = √6 , which is an irrational number

Answer 2

Answer:

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