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Presentation of Data in Tabular Form — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsPresentation of Data in Tabular Form1 Mark
Question
Rationalise $\frac{1}{\sqrt{3}+\sqrt{2}}.$
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Answer

$\frac{1}{\sqrt{3}+\sqrt{2}}=\frac{1}{\sqrt{3}+\sqrt{2}}\times\frac{\sqrt{3}-\sqrt{2}}{\sqrt{3}-\sqrt{2}}$
$=\frac{\sqrt{3}-\sqrt{2}}{\big(\sqrt{3}\big)^2-\big(\sqrt{2}\big)^2}$
$=\frac{\sqrt{3}-\sqrt{2}}{3-2}$
$=\sqrt{3}-\sqrt{2}$

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