Please answer the question
Rationalization method should be used or by taking LCM.
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Answer:
I recommend LCM
Step-by-step explanation:
Taking LCM in these Fractional question gives you a quick and best easy answer to make during exams
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Solution :-
LHS -
(4 - √5)/(4 + √5) + (4 + √5)/(4 - √5) + 2/(5 + √3)
+ 2/(5 - √3)
=> (4 - √5)² + (4 + √5)² / (4 + √5)(4 - √5)
+ { 2(5 - √3) + 2(5 + √3) / (5 + √3)(5 - √3)
=> 2 {(4)² + (√5)² } / (4)² - (√5)² + { 2(10)/(5)²-(√3)²}
=> 2 { 16 + 5 } / (16 - 5) + 20/ (25 - 3)
=> 2(21) / 11 + 20/22
=> 42/11 + 10/11
=> 52/11 = RHS
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