Question

if x=2-√3 then find the value of (x+1/x)^3​

Answer 1

Answer:

64

Step-by-step explanation:

Given-

x=2-√3

To find -

(x+1/x)^3

Solution-

x=2-√3

1/x=1/2-√3 * 2+√3/2+√3

1/x=2+√3/(2)^2-(√3)^2

1/x=2+√3/4-3

1/x=2+√3

Now,

(x+1/x)

2-√3+2+√3

x+1/x=4

therefore,

(x+1/x)^3=(4)^3

“ANSWER=64"