State true or false: Product of two rational numbers is always rational.

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True

False

answer is A.

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Detailed Solution

Given is the statement that the product of two rational numbers is always rational.
We have to decide if the given statement is true or not.
Rational numbers are the ones which can be expressed as a fraction or as a ratio of integers say

p q

, where p and q are integers and q is non-zero. It is the property of rational numbers that they are closed under multiplication. This means that multiplying two rational numbers results in a rational number again.
For example:
0.3 x 0.5 = 0.15, is a rational number.

58 × 23 = 512

, is a rational number.
Hence, the given statement is true.
So, the correct option is 1.

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