Question

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4. Let a be a rational number and b be an irrational number. Is ab
necessarily an irrational number? Justify your answer with an example.

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Answer 1

Hi there!

Your Answer :-

As per a Property that The product of non zero rational number and irrational is always irrational.

We can also say that a can be 0.

Let a be 0.

Let b be root(3).

Multiplication :-

$\sf0 \times \sqrt{3}$

Any number multiplied by 0 is 0 only.

So, it is proved that ab us always not a rational number.

Answer 2

Step-by-step explanation:

please post your first question again