`A=[[1/sqrt3,1/sqrt6,-1/sqrt2],[1/sqrt3,-2/sqrt6,0],[1/sqrt3,1/sqrt6,1/sqrt2]]` then find `|A|`

Simplify 1/sqrt2+1/(sqrt2+sqrt4)+1/(sqrt4+sqrt6)+1/(sqrt6+sqrt8)

Simplify (1/2+1/sqrt2-sqrt3)/(sqrt3-1/sqrt2-1/sqrt3)

let A=(sqrt(sqrt3+1)-sqrt(sqrt3-1))/(sqrt(sqrt3+1)+sqrt(sqrt3-1)) , X=(sqrt6-sqrt30)/(sqrt2-sqrt10)-2 then find relation between A,X

If sqrt2:(1+sqrt3)::sqrt6:x then x=

The value of { 1/(sqrt6 - sqrt5) - 1/(sqrt5 - sqrt4) + 1/(sqrt4 - sqrt3) - 1/(sqrt3 - sqrt2) + 1/(sqrt2 - 1)} is :

(sqrt(6)+sqrt(5)+ 1/(sqrt(6)+sqrt(5)))^2

Let T = (1)/(3-sqrt(8))-(1)/(sqrt(8)-sqrt(7)) +(1)/(sqrt(7)-sqrt(6))-(1)/(sqrt(6)-sqrt(5))+(1)/(sqrt(5)+2) then-

Value of 1/(sqrt2+1)+1/(sqrt3+sqrt2)+1/(sqrt4+sqrt3)+....+1/(sqrt100+sqrt99) is