Question

mention 2 irrational no whose product is rational no​

Answer 1

Step-by-step explanation:

sum of any two irrational numbers is an irrational number. However, consider √2 and -√2. Their product is -2 and sum is 0, both of which are rational numbers.

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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)

(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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