Question

if x and y are rational and irrational numbers respectively, then is x+ y necessarily an irrational number? justify your answer??​

Answer 1

Answer:

Yes, x+y is always irrational.

since, x is rational and y is irrational, the sum of a rational and irrational is always a irrational.

Answer 2

Step-by-step explanation:

seeing by an example

Let x=3+√2 be the irrational number and let y=2 be the rational number

x+y=3+√2+2

=5+√2 which is also a irrational number

Thus, the sum of rational and irrational number always give a irrational number

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