MCQ
The value of $\frac{2}{\sqrt{5}-\sqrt{3}}$ is:
- A$\frac{1}{\sqrt{5}-\sqrt{3}}$
- B$\sqrt{5}-\sqrt{3}$
- C$\frac{1}{\sqrt{5}+\sqrt{3}}$
- ✓$\sqrt{5}+\sqrt{3}$
✓
Answer
Correct option: D.
$\sqrt{5}+\sqrt{3}$
$\frac{2}{\sqrt{5}-\sqrt{3}}$
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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