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Question

Let x and y be rational and irrational numbers, respectively. Is x+y necessarily an irrational number? Given an example in support of your answer.

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Solution

As we know before,

The sum of rational and irrational number is mainly an irrational number.

Therefore, if we consider m as rational and n as irrational

Then the sum of m+n is an irrational number

Example:

m=1 and n=2

m+n=1+2 is an irrational number.

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