एफ एक्स इज इक्वल टू टू माइनस रूट 3 फाइंड द वैल्यू ऑफ एक्स माइनस वन अपऑन एक्स का होल क्यूब
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Given : x = 2 - √3
To find : value of (x - 1/x)³
Solution:
x = 2 - √3
1/x = 1/(2 - √3)
Rationalizing
1/x = (2 + √3)/(2 - √3)(2 + √3)
=> 1/x = (2 +√3)/(4 - 3)
=> 1/x = 2 +√3
=> x - 1/x = 2 - √3 + 2 + √3
=> x - 1/x = 4
Cubing both sides
=> (x - 1/x)³ = 4³
=> (x - 1/x)³ = 64
(x - 1/x)³ = 64 if x = 2 - √3
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1
Answer:
answer is 8 degree this is correct
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