Question

If x =2 - root 3 then find the value of (x - 1/x) power 3

Answer 1

Answer:

Answer is 4 by suitable method

Step-by-step explanation:

x-1/x=2-√3+1/2-√3

multiplying 1/2-√3 into 2+√3/2-root 3

2+√3/(2+√3)((2-√3)

2+√3/(2²-√3²) applying (a+b)(a-b)=a²-b²

2+√3/4-3 which is equal to 2+√3/1

and it becomes

x-1/x=2-√3+2+√3,which is equal to 4,hope it helps.