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$\big(\sqrt{3}+\sqrt{5}\big)$
- D$\sqrt{12}+\sqrt{5}$
✓
Answer
- $\sqrt{12}+\sqrt{5}$
Solution:
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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