If \( \Large G = H + \sqrt{\frac{4}{L}} \), then L equals


A) \( \Large \frac{4}{(G - H)^{2}} \)

B) \( \Large 4 (G - H)^{2} \)

C) \( \Large \frac{4}{G^{2} - H^{2}} \)

D) \( \Large 4 (G^{2} - H)^{2} \)

Correct Answer:
A) \( \Large \frac{4}{(G - H)^{2}} \)

Description for Correct answer:
\( \Large G = H + \sqrt{\frac{4}{L}} \)

=> \( \Large (G - H) = \sqrt{\frac{4}{L}} \)

=> \( \Large (G - H)^{2} = \frac{4}{L} \)

=> \( \Large L = \frac{4}{(G - H)^{2}} \)

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