Question

if x is equal to 3 + 2 root 2 then find the value of x minus one by X whole cube​

Answer 1

Given,

If x = 3 + 2√2

Find (x - 1/x)^3

(3 + 2√2 - 1/3 + 2√2)

{(3+ 2√2)^2 -1/ 3+2√2}. [ After LCM ]

{ 9 + 12√2 + 8 -1/ 3+2√2}

{16 + 12√2/ 3+2√2}

or

{4(4 + 3√2)/3+2√2}

Therefore, the answer is 16 + 12√2/3+2√2

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