If `(a+sqrt2b cosx)(a-sqrt2b cosy)=a^2-b^2, ` where `a gt b gt 0` , then `(dx)/(dy) ` at `(pi/4,pi/4)` is :

If (a+sqrt(2)bcosx)(a-sqrt(2)bcosy)=a^2-b^2 , find (dx)/(dy) at (pi/4,pi/4) .

If a lt 0, b gt 0 , then sqrt(a)sqrt(b) equal to

Square root of 2a - sqrt(3a^2 - 2ab - b^2) , (a gt b gt 0) is

sqrt(a +b -2 sqrt(ab)) is ____ where sqrta gt sqrtb

If a,b in R such that ab gt 0 , then sqrt(a)sqrt(b) is equal to

If (a+b):sqrt(ab)=4:1 then find a:b if a gt b gt 0

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