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Number systems — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsNumber systems1 Mark
Question
Rationalise the denominator of $\frac{1}{7+3 \sqrt{2}}$
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Answer

we have..

$\frac{1}{7+3 \sqrt{2}}$ = $\frac{1}{7+3 \sqrt{2}} \times\left(\frac{7-3 \sqrt{2}}{7-3 \sqrt{2}}\right)=\frac{7-3 \sqrt{2}}{49-18}=\frac{7-3 \sqrt{2}}{31}$

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