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Number systems — MATHS STD 9 — Question

Rajasthan BoardEnglish MediumSTD 9MATHSNumber systems1 Mark
Question
The value of $\frac{2}{\sqrt{5}-\sqrt{3}}$ is:
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Answer

  1. $\sqrt{5}+\sqrt{3}$
    Solution:
    $\frac{2}{\sqrt{5}-\sqrt{3}}$
    Multiplying nu nominator and denominator by $\sqrt{5}+\sqrt{3},$
    We get,
    $\frac{2(\sqrt{5}+\sqrt{3})}{(\sqrt{5}-\sqrt{3})(\sqrt{5}+\sqrt{3})}$
    $=\frac{2(\sqrt{5}+\sqrt{3})}{5-3}=\sqrt{5}+\sqrt{3}$

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