Find the sum of `sqrt2+1/sqrt2+1/(2sqrt2)+...`

If sqrt2 = 1.4142 , find the value of 2sqrt2 + sqrt2 + (1)/(2 + sqrt2) + (1)/(sqrt2 - 2)

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

Find the sum of 1-2sqrt5 and 3+7sqrt5

Find the sum of each of the following infinite series : sqrt(2)-1/sqrt(2)+1/(2sqrt(2))-1/(4sqrt(2))+...oo

Find the sum (1)/(1+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+sqrt(4))+.......... upto 99 terms.

Find the sum (1)/(1+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+sqrt(4))+ upto 99 terms.

Find the value of sqrt(1+2sqrt(1+2sqrt(1+2sqrt(1+......))))

Can the direction cosines of a line be 1/sqrt2 , 1/sqrt2, 1/sqrt2 ?

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