Question

Let x and y be rational and irrational numbers, respectively. Is x+y necessarily an irrational number? Give an example in support of your answer. ​

Answer 1

if we suppose x = 2 and y =2root2

therefore

the sum x+y = 2+ 2 root 2 and this no. is irrational

hence

sum of irrational and rational is always irrational ....

I Hope this will help you

Mark as a ..................

Answer 2

$let \: x \: = \: 2 \: and \: y = \sqrt{2} \\ 2 + \sqrt{2 } = 2 + \sqrt{2} which \: is \: a \\ rational \: no$