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Rational and Irrational Numbers — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSRational and Irrational Numbers1 Mark
Question
Write the lowestrationalising factor of : $\sqrt5 - \sqrt2$
✓

Answer

$\sqrt5 - \sqrt2$
$( \sqrt5 - \sqrt2 )( \sqrt5 + \sqrt2 )$
$= ( \sqrt5 )^2 - ( \sqrt2 )^2$
$= 3$
Therefore lowestrationalizing factor is $\sqrt5 + \sqrt2$

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