MCQ
The rationalisation factor of $\frac{1}{\big(2\sqrt{3}-\sqrt{5}\big)}$ is:
  • A
    $\sqrt{5}-2\sqrt{3}$
  • B
    $\sqrt{3}+2\sqrt{5}$
  • C
    $\big(\sqrt{3}+\sqrt{5}\big)$
  • $\sqrt{12}+\sqrt{5}$

Answer

Correct option: D.
$\sqrt{12}+\sqrt{5}$
The rationalisation factor of $\frac{1}{2\sqrt{3}-\sqrt{5}}$ is $2\sqrt{3}+\sqrt{5},$
i.e. $\sqrt{3\times4}+\sqrt{5}$
i.e. $\sqrt{12}+\sqrt{5}$
Hence, the correct option is $(d).$

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