`1+(sqrt(2)-1)//(2sqrt((2)))+(3-2sqrt(2))//12+(5sqrt(2))//24sqrt(2).......`

Find the 5th term of the progression 1,((sqrt(2)-1))/(2sqrt(3)),\ ((3-2sqrt(2))/(12)),\ ((5sqrt(2)-7)/(24sqrt(3))),\ ddot

Find the 5th term of the progression 1,((sqrt(2)-1))/(2sqrt(3)),((3-2sqrt(2))/(12)),((5sqrt(2)-7)/(24sqrt(3)))

(sqrt(2)-1)/(sqrt(2))+(3-2sqrt(2))/(4)+(5sqrt(2)-7)/(6sqrt(2))+……oo=

sqrt(5sqrt(2)-2sqrt(12))=

(1+sqrt(2))/(sqrt(5)+sqrt(3))+(1-sqrt(2))/(sqrt(5)-sqrt(3))

(3sqrt(2)-2sqrt(3))/(3sqrt(2)+2sqrt(3))+(sqrt(12))/(sqrt(3)-sqrt(2))

(1)/(sqrt(2)+sqrt(3))-(2)/(sqrt(5)-sqrt(3))+(3)/(sqrt(5)-sqrt(2))=

(1)/(sqrt(2)+sqrt(3))-(sqrt(3)+1)/(2+sqrt(3))+(sqrt(2)+1)/(2+2sqrt(2))