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

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

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

If the value of sin9^(@) is expressed in the form of (sqrt(a+sqrt(c))-sqrt(c-sqrt(c)))/(b) , where a,b,c are co- prime natural numbers then find a, b and c

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)

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))

If sqrt(10-2 sqrt 21)+ sqrt(8+2 sqrt 15)=sqrt a+ sqrt b , where a and b are positive integers, then the value of sqrt(ab) is closest to:

If int_(0)^(1)(1)/(sqrt(3+x)+sqrt(1+x))dx=a+b sqrt(2)+c sqrt(3) ,where a,b,c are rational numbers, then 2a+3b-4c , is equal to:

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