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Number systems — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsNumber systems1 Mark
Question
Rationalize the denominators of $\frac{1}{{\sqrt 7 - 2}}$
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Answer

$\eqalign{ & {1 \over {\sqrt 7 - 2}} \cr & = {1 \over {\sqrt 7 - 2}} \times {{\sqrt 7 + 2} \over {\sqrt 7 + 2}} \cr & = {{\sqrt 7 + 2} \over {{{(\sqrt 7 )}^2} - {{(2)}^2}}} = {{\sqrt 7 + 2} \over {7 - 4}} \cr & = {{\sqrt 7 + 2} \over 3} \cr}$

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