Is product of a rational number and an irrationalnumber, a rational number? Is product of twoirrational numbers, a rational number or anirrational number? Justify by giving examples. About the author Aubrey
[tex] \fbox \red{Required Answer:}[/tex] 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 Reply
[tex] \fbox \red{Required Answer:}[/tex]
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:
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