If `x= 5+2sqrt6` then find the value of `sqrtx+1/sqrtx`.

If x=3+2sqrt2 , then find the value of (sqrtx -""1/sqrtx)

IF x =13 + 2sqrt(42) then find the value of ( sqrtx - 1/sqrt(x))

If x = 2, y = 3 and z = 6 , then find the value of (3sqrtx)/(sqrty + sqrtz) - (4 sqrty)/(sqrtz + sqrtx) + (sqrtz)/(sqrtx + sqrty)

(a) If x = (sqrt5 +1)/(sqrt5-1) then find the value of (x -1/x)

If sqrtx/sqrty = (a + sqrt2)/(a - sqrt2) , then find the value of (x-y)/(x + y) .

Solve : sqrtx+(1)/(sqrtx)=2 .

If f (1) =1 f'(1)=2 then the value of lim _(xto1) (sqrt(f(x))-1)/(sqrtx-1) is-

(a) If x gt a, y gt b and x + y = a + b , then find which one of (sqrtx + sqrty) and (sqrta + sqrtb) is greater ? (b) Which one of the two (sqrt21 + sqrt11) and (2sqrt5 + 2 sqrt3) is greater ? (c) Which one is greater root(3)(4) and root(4)(5) ? (d) Find the greatest and least numbers : 2 sqrt2, 3 root(3)(2), 2 root(4)(3), 2 root(6)(7)

If x = (sqrt5 -1)/(sqrt5 +1) and y (sqrt5 +1)/(sqrt5-1) then find the value of (x^(2)/y + y^(2)/x)