Question

3. Let x be a rational number and y be an irrational number. Is x+y
necessarily an irrational number? Give an example in support
your
answer.
​

Answer 1

Answer:

Yes , It is Compulsorily Irrational Number.

Step-by-step explanation:

=====================================

let x = 2 (Rational Numbers)

& y = $\sqrt{3}$( Irrational Number )

then ,

$x + y = 2 + \sqrt{3}$

It is An Irrational Number

=====================================

Answer 2

Answer:

Yes it will always and compulsory to be irrational...

Step-by-step explanation:

this is because x is already a real value but y is not ...

but when you add them you can only get an irrational value... and there is a law made for this that rational + irrational = irrational....

I am only telling you what I was taught ....

Google these laws so that you get proper answer for it and get the prove ...

Eg:

x = 4

y = √(-1) or i

x+y=4 +√(-1)

which is irrational...

hope you get it well,

with love ,

regards,

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