Maths-
General
Easy

Question

Is the Product of a rational number and irrational number rational or irrational ? Explain with an example.

hintHint:

Use the property of rational and irrational numbers

The correct answer is: Use the property of rational and irrational numbers


    Complete step by step solution:
    Product of a rational number and an irrational number is always an irrational number.
    That is, if we have a rational number and an irrational number a and b respectively,
    then their product a cross times b is an irrational number.
    For example,
    Let a = 2 and b = square root of 3
    not stretchy rightwards double arrow a cross times b equals 2 cross times square root of 3 equals 2 square root of 3 which is an irrational number  since it is not of the form p over q,
    where p and q are integers

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