Are there two irrational numbers whose sum and product both are ration

1.	Are there two irrational numbers whose sum and product both are rationals? Justify
Answer» Yes. 3 + √2 and 3 - √2 are two irrational numbers. (3 + √2) + (3 - √2) = 6, a rational number. (3 + √2) x (3 - √2) = 7, a rational number. So, we have two irrational numbers whose sum and product both are rationals

Are there two irrational numbers whose sum and product both are rationals? Justify

Answer»

Yes.

3 + √2 and 3 - √2 are two irrational numbers.

(3 + √2) + (3 - √2) = 6, a rational number.

(3 + √2) x (3 - √2) = 7, a rational number.

So, we have two irrational numbers whose sum and product both are rationals