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Real Numbers — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsReal Numbers1 Mark
Question
The sum of two irrational number is an irrational number (True/ False).
✓

Answer

False.
Reason:
As it is not always possible that the sum of two irrational is also an irrational number, it may be rational number also.
For example,
$\big(2+\sqrt{3}\big)+\big(2-\sqrt{3}\big)=2+\sqrt{3}+2-\sqrt{3}=4.$

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