The product of two irrational numbers can be rational or irrational depending on the two numbers.
For example, √2×√2 is 2, which is a rational number whereas √2×√3 is √6, which is an irrational number.
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Similar Questions
Q1
Question 4
The product of any two irrational numbers is
A) Always an irrational number
B) Always a rational number
C) Always an integer
D) Sometimes rational, sometimes irrational
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Q2
The product of a non-zero rational number and an irrational number is
(a) always irrational
(b) always rational
(c) rational or irrational
(d) one
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Q3
The product of two irrational numbers is
(a) always irrational
(b) always rational
(c) always an integer
(d) sometimes rational and sometimes irrational
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Q4
Which one of the following statements is true?
(a) The sum of two irrational numbers is always an irrational number
(b) The sum of two irrational numbers is always a rational number
(c) The sum of two irrational numbers may be a rational number or an irrational number
(d) The sum of two irrational numbers is always an integer