Question

give an example of two irrational number whose sum is rational number

Answer 1

Two irrational numbers whose
 (i) sum is rational are
10 + 2√5 and 5 - 2√5 
Checking:
Sum of these two irrational numbers = 10 + 2√5 and 5 - 2√5 = 15 (a rational number)


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Answer 2

Two irrational numbers whose
 sum is rational are
10 + 2√5 and 5 - 2√5 
Checking:
Sum of these two irrational numbers = 10 + 2√5 and 5 - 2√5 = 15 (a rational number)