Question

NUMBER SYSTEM
2
Statement A: The sum of a rational and an irrational is an irrational
Statement B. The sum of two irrational numbers is always an irrational
Both A and B are true
b) Both A and B are tal
C) Ais true and B is false
d) A is false and B is in​

Answer 1

Answer:

Option 'A' is wrong as there is no real number which is both rational and irrational

Option 'B' is wrong

Take 2 irrational number 2+

3

,2−

3

and sum will be 4 which is a rational number

∴ Option 'B' is wrong

Option 'C' is also wrong

Take x=−2 and y=−1⇒x<y but x

2

>y

2

Option 'D' is correct as every integer can be written as rational numbers

∴Options 'A', 'B', 'C' are wrong

Answer 2

Answer:

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Step-by-step explanation:

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