If `2(sqrt(3+sqrt(5-sqrt(13+sqrt(48)))))=sqrt(a)+sqrt(b)` where a and b are nutural number find `(a+b).`

sqrt(4+sqrt(8-sqrt(32+sqrt(768))))=a sqrt(2)(cos(11 pi))/(b) where a and b are natural numbers then (b)/(a) is divisible by

If (9sqrt(3)+11sqrt(2))^((1)/(3))=sqrt(a)+sqrt(b) ,where a and b are rational with a > b.Then

(4sqrt(3)+5sqrt(2))/(sqrt(48)+sqrt(18))

If sqrt(9+sqrt48-sqrt32-sqrt24)=sqrta-sqrtb+2 ,where a,b inN , then find the value of a + b.

If (3+2sqrt(3))/(3-sqrt(3))=a+sqrt(3)b , then the value of sqrt(a+b) , where a and b are rational numbers, is

sqrt(a^(2)-6a sqrt(2)+19)+sqrt(b^(2)-4b sqrt(3)+16)<=3 where a and b are real numbers find the value of (a^(2)-b^(2))

(sqrt(x)+sqrt(y))^(2)=x+y+2sqrt(xy) and sqrt(x)sqrt(y)=sqrt(xy) , where x and y are positive real numbers . If a=1+sqrt(2)+sqrt(3) and b=1+sqrt(2)-sqrt(3) , then a^(2)+b^(2)-2a-2b=

(sqrt(31+sqrt(31+sqrt(31+...))))/(sqrt(1+sqrt(1+sqrt(1+...))))=a-sqrt(b) where a,b in N then find the value of a+b

If sqrt(a)>sqrt(b)>sqrt(c)>sqrt(d) where a,b,c and d are consecutive natural numbers then which of the following is correct (1)sqrt(a)-sqrt(b)>sqrt(c)-sqrt(d)(2)sqrt(c)-sqrt(d)>sqrt(a)-sqrt(b)(3)sqrt(a)-sqrt(c)>sqrt(b)-sqrt(d)(4)sqrt(c)-sqrt(d)=sqrt(a)-sqrt(b)

Evaluate sqrt(3+sqrt(3)+sqrt(2+sqrt(3))+sqrt(7+sqrt(48)))