Question

rationalise 2√3 - √5 / 2√2 + 3√3​

Answer 1

Answer:

2✓3 - ✓5 / 2✓3 + 3✓3

=> ( 2✓3 - ✓5 ) / ( 2✓3 + 3✓3 ) × ( 2✓3 - 3✓3/(2✓3-3✓3)

=> ( 2✓3 - ✓5 ) ( 2✓3 - 3✓3 ) / ( 2✓3 + 3✓3 ) ( 2✓3 - 3✓3 )

=> 2✓3 ( 2✓3 - 3✓3 ) - ✓5 ( 2✓3 - 3✓3 ) / ( 2✓3)² - (3✓3)²

=> 12 - 18 - 2✓15 + 3✓15 / 12 - 27

=> -6 + ✓15 / -15 [ Answer ]

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