Question

Let x be a rational number and y be an irrational number. Is x + y necessarily an irrational number? Give an example in supporting of your answer.
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Answer 1

Step-by-step explanation:

If x is rational and y irrational number

So

ATQ

let us consider y as root2

AND x as 1, 2...

So it will always be irrational

1×_/2=_/2

2×_/2=2_/2

HOPE IT HELPS AND PLZ MARK IT AS BRAINLIEST AND FOLLOW ME

Answer 2

hey bro,

here is your answer.

""THE SUM OF A RATIONAL AND A IRRATIONAL NUMBER IS ALWAYS A IRRATIONAL NUMBER.""

Let x be the rational =3

and y be the irrational number=√5

Now,3+√5=3+2.23606....=5.23606......,which is an irrational number.

hope this helps you.

thank u.

if their is anything wrong then rectify it.

have a nice day.