The difference between two distinct irrational numbers is always - Vidyadip

MCQ

The difference between two distinct irrational numbers is always

✓
both rational and irrational number
B
a rational number
C
none of these
D
an irrational number

✓

Answer

Correct option: A.

both rational and irrational number

The difference between two distinct irrational numbers can be either a rational number or an irrational number.
e.g difference between $\pi$ and $(\pi - 3)$ is equal to $3$ which is rational
$\sqrt{2}$ and $\sqrt{2}+1$ both are irrational but their difference is $1$ which is rational
similarly $,\sqrt{2}$ and $\sqrt{3}$ are irrational and their differnce $ (\sqrt{3}-\sqrt{2})$ is also irrational

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