2 +3√5/2-3√5 rationalize the denominator
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→ 2 + 3√5 / 2 - 3√5
[ Multiply and divide with " 2 - 3√5 " on both sides ]
→ 2 + 3√5 / 2 - 3√5 × 2 - 3√5 / 2 - 3√5
[ Use identify formula :- ( a + b ) ( a - b ) = a² - b² ]
→ ( 2 )² - ( 3√5 )² / ( 2 - 3√5 )²
[ Use identify formula :- ( a - b )² = a² - 2ab + b² ]
→ 4 - 9.5 / 2² - 2.2.3√5 + (3√5)²
→ 4 - 45 / 4 - 12√5 + 9.5
→ -41 / 4 - 12√5 + 45
→ -41 / 49-12√5
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