rationalise the denominator 2√5/√5-√3
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2 √ 5 / √ 5 - √ 3
2 √ 5 ( √ 5 + √ 3 ) / ( √ 5 - √ 3 ) ( √ 5 + √ 3 )
2 √ 5 ( √ 5 + √ 3 ) / ( √ 5 ) ² - ( √ 3 ) ²
2 √ 5 ( √ 5 + √ 3 ) / 5 - 3
2 √ 5 ( √ 5 + √ 3 ) / 2
2 ( √ 5 ) ² + 2 √ 5 √ 3 / 2
2 × 5 + 2 √ 5 √ 3 / 2
10 + 2 √ 5 √ 3 / 2
10 + 2 √ 15
5 + √ 15
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