(sqrt(2)+(1)/(2))^(2)

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

(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))

For the serioes 2+(sqrt(2)+(1)/(sqrt(2)))+((2sqrt(2)-1)+(1)/(2))+((3sqrt(2)-2)+(1)/(2sqrt(2)))+

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

Sum the series to infinity : sqrt(2)- (1)/(sqrt(2))+(1)/(2(sqrt(2)))-(1)/(4sqrt(2))+ ....

If x= (1)/(sqrt2) + (1)/(2) + (1)/(2sqrt2) +… + oo , then find the value of x + (1)/(x) .

lim_(x rarr sqrt(2))(sqrt(3+2x)-(sqrt(2)+1))/(x^(2)-2)

sqrt((1)/(2)+(1)/(2)sqrt((1)/(2)+(1)/(2)sqrt((1)/(2)+(1)/(2)cos8 theta)))theta=(pi)/(12)

"2+sqrt(2)+(1)/(sqrt(2)+2)+(1)/(sqrt(2)-2)=?