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Rational and Irrational Numbers — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSRational and Irrational Numbers2 Marks
Question
Write the lowest rationalising factor of : $\sqrt{5 } -\sqrt{2}$
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Answer

$ \sqrt{5}-\sqrt{2}$
$ (\sqrt{5}-\sqrt{2})(\sqrt{5}+\sqrt{2}) $
$=(\sqrt{5})^2-(\sqrt{2})^2$
$=3$
Therefore lowest rationalizing factor is $\sqrt{5}+\sqrt{2}$

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