Question

3. Let be a rational number and y be an irrational number. Is xiy
necessarily an irrational number? Give an example in support
of
your
answer
2010. 141​

Answer 1

Answer:

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Yes.

Let x =21,y=√2

be a rational number

Now x+y=21+√2

=21+1.4142....=22.4142.... , which is non-terminating and non-recurring. Hence x+y is irrational.