Austrailan Mathematics Competition Warmup

Algebra Level 1

Which of the following is equal to 1253\frac { 1 }{ 2\sqrt { 5 } -\sqrt { 3 } }?

1) 2537\frac { 2\sqrt { 5 } -\sqrt { 3 } }{ 7 }

2) 25+317\frac { 2\sqrt { 5 } +\sqrt { 3 } }{ 17 }

3) 25317\frac { 2\sqrt { 5 } -\sqrt { 3 } }{ 17 }

4) 25+37\frac { 2\sqrt { 5 } +\sqrt { 3 } }{ 7 }

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