{ MCQ } Q-- If we add two irrational numbers, the resulting number 1 Is always an irrational number - Maths - Number Systems

Question

{ MCQ }
Q-- If we add two irrational numbers, the resulting number
1 Is always an irrational number
2 Is always an irrational number
3 May be a rational or an irrational number
4 always an integer

Ajanta Trivedi · Accepted Answer

sum of two irrational numbers may or may not be irrational number.

for example:

let the numbers are $2 + \sqrt{3} a n d \sqrt{5}$

therefore its sum = $2 + \sqrt{3} + \sqrt{5}$ is an irrational numeber.

case II: lat the numbers are $2 + \sqrt{7} a n d 5 - \sqrt{7}$

therefore their sum = 7 is a rational number.

thus option (3) is correct.

hope this helps you.

cheers!!

{ MCQ } Q-- If we add two irrational numbers, the resulting number 1. Is always an irrational number 2. Is always an irrational number 3. May be a rational or an irrational number 4. always an integer

{ MCQ }

Q-- If we add two irrational numbers, the resulting number

1. Is always an irrational number

2. Is always an irrational number

3. May be a rational or an irrational number

4. always an integer