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Question

Let x and y be rational and irrational numbers respectively are x+y and xy irrational? Justify by an example for each...

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Solution

x+y will be irrational as rational number+irrational number is always irrational no.

Ex- 2+5.55..=7.55..which is irrational.

xy will also be irrational rational no.* irrational no. is always irrational no.

Ex-3*4.55..=13.66..which is irrational too.


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