Question

let X and y be rational and irrational number respectively is X + y necessary and international number justify your answer with example

Answer 1

Answer:

Rational Number are those numbers which can be expressed in the form p/q where q is not equal to 0 and p and q belongs to integers a rational number can be expressed in the form of decimal too.

Say x = 2

and y = 3

It clearly states that x+y =5 ( Product is not following the definition of Rational numbers )

Proving that x+y is an irrational number.

Rational means number between two integer say x and y are 2 and 3 respectively.

=1/2(2+3)

=5/2 or 2.5 ( Rational number of x and y we get which follow the definition of Rational number )

Answer 2

Answer:

Hope this helps

Step-by-step explanation:

Let X + y = a rational number then y=rational number - x

Y = rational number - rational number

Y = rational number

Now this contradicts the given statement that y is irrational number

Therefore assumption is wrong and X + Y is an irrational number.

You can take X and Y as any number and verify it...

Please mark it the brainliest