Question

Give an example of two irrational numbers whose sum , product , and division is irrational number

Answer 1

Normally, 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. Thus, there can be numbers whose sum and product both are rationals.

Answer 2

• √2 ᴀɴᴅ √-2 ɪꜱ ᴛʜᴇ ᴇxᴀᴍᴩʟᴇ....