Question

Rationalize the denominator of 2root5 +3root2 divided by 2root5 -3root2

Answer 1

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2√5 + 3√2 = (2√5 + 3√2 )(2√5 + 3√2 )      [divide them]

2√5 - 3√2       (2√5 - 3√2) (2√5 + 3√2 )

=(2√5 + 3√2 )²  = (2√5)² + (2)(2√5)(3√2) + (3√2)²

(2√5)² - (3√2)²                       20 - 18

= 20 + 12√10 + 18  =  38 + 12√10  =  19 + 6√10

             2                           2

Hope it Helps You...

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