Question

give an example of to irrational number whose sum and product both are rational​

Answer 1

Answer:

We know that the sum of any two irrational numbers is an irrational number.

Let us consider √2 ans -√2. Their product is -2 and sum is 0 which are rational numbers. There can be numbers whose sum and product both are rationals.

Answer 2

Hi there,

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.

Generally, in 2 irrational numbers

√x and -√x If √x belongs to irrational number then their sum and product is always rational number

For example

√3 and -√3

√5 and -√5

√7 and -√7

(and goes on) etc.

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