Question

solve this problem ​

Answer 1

Given : x = 3 - √8.

Now,

⇒ x + 1/x = 3 - √8 + 3 + √8

              = 6.

Hence, x + 1/x = 6.

On cubing both sides, we get

⇒ (x + 1/x)^3 = (6)^3

⇒ x^3 + (1/x^3) + 3(x + 1/x) = 216

⇒ x^3 + (1/x^3) + 3(6) = 216

⇒ x^3 + (1/x^3) = 216 - 18

⇒ x^3 + 1/x^3 = 198.

Answer 2

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