a=√5+1/√5-1 b=√5-1/√5+1 then a5+b5 =?
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Step-by-step explanation:
a = √5 + 1 / √5 - 1
b = √5 - 1 /√5 + 1
(5 × a) + (5× b)
= 5[√5+1/√5-1] + 5[√5-1/√5+1]
= (5√5 + 5 / 5√5 - 5) + (5√5 - 5 / 5√5 + 5)
= 125 +25 + 125 + 25 / (5√5)² - 5²
= 300/25 × 5 -25
= 300/125 - 25
= 300/ 100
= 3 ANS.
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