let a be a rational no. and b be an irrational no. is ab necessarily an irrational?justify your answer
I know the ans is 0
because 0 is an rational no. and when we multiply it by any irrational no. the ans is the rational no-0.
but in rs aggarwal book it is written yes can you tell which ans is correct and why
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if a is rational and b is irrational then the product is irrational
ex= 2× root 2 = 2 root 2 so it is irrational
but if I take 0 × root 2 = 0 which is a rational number
as it can be written in the form p by q
so you can say that rational into irrational that is a× b is always irrational except when rational number is 0
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