Discussion

Explanation:

Given, $\frac{2}{\sqrt{5}-\sqrt{3}}$

Here, the denominator is √5 - √3, its conjugate is √5 + √3.

We multiply and divide the given expression with √5 + √3.

∴ $\frac{2}{\sqrt{5}-\sqrt{3}}\times \frac{\sqrt{5}+\sqrt{3}}{\sqrt{5}+\sqrt{3}}$ = $\frac{2\left(\sqrt{5}+\sqrt{3}\right)}{{\left(\sqrt{5}\right)}^2-{\left(\sqrt{3}\right)}^2}$ = $\frac{2\left(\sqrt{5}+\sqrt{3}\right)}{5-3}$ = √5 + √3.

Hence, option (b).

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