{√5-1/√5+1 + √5+1/√5-1}
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Answer:
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Step-by-step explanation:
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Answered by
0
Answer:
Hence, (√5 + 1)/(√5 - 1) + (√5 - 1)/(√5 + 1) = 3
Step-by-step explanation:
Given, (√5 + 1)/(√5 - 1) + (√5 - 1)/(√5 + 1)
= {(√5 + 1)(√5 + 1)}/{(√5 - 1)(√5 + 1)} + {(√5 - 1)(√5 - 1)}/{(√5 + 1)(√5 + 1)}
= {(√5 + 1)2 }{(√5)2 - 12 } + {(√5 - 1)2 }{(√5)2 - 12 }
= (5 + 1 + 2√5)/(5 - 1) + (5 + 1 - 2√5)/(5 - 1)
= (6 + 2√5)/4 + (6 - 2√5)/4
= (6 + 2√5 + 6 - 2√5)/4
= 12/4
= 3
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