Question

write a pair of irrational number whose sum is a 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) (ii) product is rational are 10 + 2√5 and 10 - 2√5 Checking: Product of these two irrational numbers = (10 + 2√5) (10 - 2√5) = (10)2 - (2√5)2 = 100 - 20 = 80 (a rational number) (iii) quotient is rational are 10√5 and 5√5 Checking: Quotient of these two irrational numbers = (10√5)/(5√5) = 2 (a rational number)

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Answer 2

Answer:

Step-by-step explanation:

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)