Austrailan Mathematics Competition Warmup

Algebra Level 1

Which of the following is equal to \(\frac { 1 }{ 2\sqrt { 5 } -\sqrt { 3 } }\)?

1) \(\frac { 2\sqrt { 5 } -\sqrt { 3 } }{ 7 } \)

2) \(\frac { 2\sqrt { 5 } +\sqrt { 3 } }{ 17 } \)

3) \(\frac { 2\sqrt { 5 } -\sqrt { 3 } }{ 17 } \)

4) \(\frac { 2\sqrt { 5 } +\sqrt { 3 } }{ 7 } \)

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