Question

if x=1+root 2+root3 then what the value of x+1/x

Answer 1

x=1+√2+√3
x+1/x =1+√2+√3+1/1+√2+√3
=2+√2+√3/(1+√2)+√3
{2+√2+√3/(1+√2)+√3}×(1+√2)-√3)\(1+√2)-√3)
(2+√2+√3)(1+√2-√3)/(1+√2)²-(√3)
2+2√2-2√3+√2+2-√6+√3+√6-3/1+2+2√2-3
1+4√2-√3/2√2
1+√2/2√2
(1+√2/2√2)×(2√2/2√2(
(1+√2)(2√2)/8
2√2+4/8
2(√2+2)/8
2+√2/4