Question

the sum of two irrational numbers always produce an irrational number ​

Answer 1

Answer:

No, The given statement is incorrect

Step-by-step explanation:

Sum of a rational and irrational numbers is always an irrational number.  

Sum of two irrational numbers is always irrational.  

Example: 1) $\sqrt{2} + \sqrt{-2} = 0$

2) $\sqrt{3} +\sqrt{3} = 2\sqrt{3}$  

From the above two examples we can say that sum of two irrationals is not always an irrational.So the given statement is false.

Answer 2

Answer:

Yes

Step-by-step explanation:

Example:

$\sqrt{3}$ x $\sqrt{3}$ = 3