(sqrt((1)/(2)))sqrt(((1)/(2)+(1)/(2)sqrt(((1)/(2)))sqrt(((1)/(2)+(1)/(2)sqrt((1)/(2)+(1)/(2)sqrt((1)/(2)))))_(-.2))

sqrt((1)/(2))sqrt((1)/(2))sqrt((1)/(2)+(1)/(2)sqrt((1)/(2)))*sqrt((1)/(2)+(1)/(2)sqrt((1)/(2)............oo))

x=(1)/(1+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+2)=

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

(1)/(sqrt(7)-sqrt(2))-(1)/(sqrt(7)+sqrt(2))=

(d)/(dx)[cos^(-1)(x sqrt(x)-sqrt((1-x)(1-x^(2))))]=(1)/(sqrt(1-x^(2)))-(1)/(2sqrt(x-x^(2)))(-1)/(sqrt(1-x^(2)))-(1)/(2sqrt(x-x^(2)))(1)/(sqrt(1-x^(2)))+(1)/(2sqrt(x-x^(2)))(1)/(sqrt(1-x^(2)))0 b.1/4c.-1/4d none of these

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

Find the value of sqrt((1)/(2)sqrt((1)/(2)sqrt((1)/(2)sqrt((1)/(2)......cdots oo))))

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

tan^(-1)((sqrt(2)+1)/(sqrt(2)-1)) - tan^(-1)(sqrt(2)/2) =

6 + log_(1/4) (1/sqrt(2))[sqrt(1-(1/sqrt(2))sqrt(1-(1/sqrt(2))sqrt(1-(1/sqrt(2)))]