Answer :
Given: x is rational number and y is irrational number.
Yes, x + y is necessarily an irrational number.
Example: Let x = 2, which is rational.
Let y = √2, which is irrational.
Then, x + y = 2 + √2, which is irrational.
∴ Sum of a rational and an irrational number is always irrational.
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