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Question

4+ 3 root5I4 - 3 root5= a+b root5

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Solution

= 4 + 3√5 / 4 - 3√5
= 4 + 3√5 / 4 - 3√5 × 4 + 3√5 / 4 + 3√5
= [ (4)² + 2 (4) (3√5) + (3√5)² ] / (4)² - (3√5)²
= ( 16 + 45 + 24√5 ) / 16 - 45
= ( 61 + 24√5 ) / - 29
= - 61 / 29 -24 / 29 × √5
∴a = - 61/29 and b = - 24 / 29

Read more on Brainly.in - https://brainly.in/question/348633#readmore

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