$\dfrac{1}{\sqrt{5} - \sqrt{3}}$ rationalised equals

$\dfrac{1}{\sqrt{5} - \sqrt{3}}$ rationalised equals
  1. $\dfrac{\sqrt{5} + \sqrt{3}}{2}$
  2. $\sqrt{5} + \sqrt{3}$
  3. $\dfrac{\sqrt{5} - \sqrt{3}}{2}$
  4. $2$

Solution

Multiply by $\dfrac{\sqrt{5} + \sqrt{3}}{\sqrt{5} + \sqrt{3}}$. Denom $= 5 - 3 = 2$. Result: $\dfrac{\sqrt{5} + \sqrt{3}}{2}$.

Asked in: MH-SSC-9

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