If x=3−2√2 then (x+1x)3 = __________________
343
216
125
27
x=3−2√2 ...(i) ⇒1x=13−2√2 Rationalizing factor of 3−2√2 is 3+2√2
∴1x=13−2√2×3+2√23+2√2
=3+2√2(3)2−(2√2)2
=3+2√29−8
=3+2√2 ...(ii)
∴x+1x=3−2√2+3+2√2
=6
⇒(x+1x)3=(6)3
=216
If x=3√2+√3, then x3+1x3=
If x=2+√3, then x3+1x3 = __.