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Rational and Irrational Numbers — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSRational and Irrational Numbers1 Mark
Question
Write a pair of irrational numbers whose difference is irrational.
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Answer

$\sqrt3 + 2$ and $\sqrt2 - 3$ are two irrational numbers whose difference is irrational.
$( \sqrt3 + 2 ) - ( \sqrt2 - 3 )$
$= \sqrt3 - \sqrt2 + 2 + 3$
$= \sqrt3 - \sqrt2 + 5$ which is irrational.

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