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  • The product of a non-zero rational and an irrational number is (A) always irrational (B) always rational (C) Rational or irrational (D) one

The product of a non-zero rational and an irrational number is
(A) always irrational
(B) always rational
(C) Rational or irrational
(D) one

Answers (1)

best_answer

Rational number is the number, which can be written:
in the form of p/q where q not equal to zero. (Here P and Q has to be an integer)
Irrational numbers cannot be written in the form of p/q.
Consider a rational number = 1/2
\text{ Irrational number =} \sqrt{3} 
\text{Product =}\frac{1}{2}\times \sqrt{3}= \frac{\sqrt{3}}{2}  \text{(irrational)}
Therefore, option (A) is correct.

Posted by

infoexpert27

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