Answer:
so x+1/x=4
Step-by-step explanation:
x=2+√3
for 1/x we take reciprocal of x
1/x=1/2+√3
first we will rationalize 1/x
multiplying and dividing by 2-√3
1/x=1/2+√3 × 2-√3/2-√3
1/x=2-√3/(2+√3)(2-√3)
as we know that (a-b)(a+b)=a²+b²
1/x=2-√3/(2)²-(√3)²
1/x=2-√3/4-3
1/x=2-√3
now x+1/x
x+1/x=2+√3+2-√3
2+2+√3-√3
x+1/x=4
i hope it will help you
