if x=2+root 3, then find the value of (x-1/x)cube

Let

We need to find, .

Since , we have

Thus,

Thus,

  • 19

x = 2 + root 3

1 /x = 1 / 2 + root 3 = 2 - root 3

x  - 1 /x = 2 + roo3 - 2 + root 3 = 2 * root 3

(x - 1 /x)3 = (2 * root 3)3 = 8*3 root 3 = 24 * root 3

  • -7
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