Question

let x and y be rational and irrational numbers respectively. are x+y and xy irrational? justify your answer by an example for each.​

Answer 1

both will be irrational as sum and product of a rational and irrational no is irrational

Eg

$2 \times \sqrt{2 \: } \: = 2 \sqrt{2}$

$2 + \sqrt{2 \: } = 2 + \sqrt{2}$

for 2 two unlike values cant simply be added