if x=2+√3 find the value of x^3+1/x^3
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Answer:
52
Step-by-step explanation:
Given, x = 2 +
= = 2 - ...(rationalizing the denominator)
[x + ]³ = x³ + + 3(x + )
= [2 + + 2 - ]³ - 3(2 + + 2 - ) = x³ +
= 4³ - 12 = x³ +
= 64 -12 = x³ + = 52
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