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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 sum is irrational.
✓

Answer

$\sqrt3 + 5$ and $\sqrt5 - 3 $ are irrational numbers whose sum is irrational.
$( \sqrt3 + 5 ) + ( \sqrt5 - 3 )$
$= \sqrt3 + \sqrt5 + 5 - 3$
$= \sqrt3 + \sqrt5 + 2$ which is irrational.

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