If `(x+iy) = sqrt((a+ib)/(c+id))` then prove that ` (x^2 + y^2)^2 = (a^2 + b^2)/(c^2 + d^2)`

If x" - "i y" "=sqrt((a-i b)/(c-i d)) prove that (x^2+y^2)^2=(a^2+b^2)/(c^2+d^2)

If x+i y=sqrt((a+i b)/(c+i d)) prove that (x^2+y^2)^2=(a^2+b^2)/(c^2+d^2)

If x+i y=sqrt((a+i b)/(c+i d)), then write the value of (x^2+y^2)^2 .

If x- yi = (a-bi)/(c-di) , prove that x^(2) + y^(2)= (a^(2) + b^(2))/(c^(2) + d^(2))

If x - i y =sqrt((a-i b)/(c-i d)) prove that x^2+y^2=(a^2+b^2)/(c^2+d^2)

(x+iy)^(1/3) =(a+ib) then prove that (x/a+y/b)=4(a^2-b^2)

(x+iy)^(1/3) =(a+ib) then prove that (x/a+y/b)=4(a^2-b^2)

If sin^-1 (x/a) +sin^-1 (y/b) = sin^-1 (c^2/(ab)) then prove that b^2x^2 +2xysqrt(a^2b^2-c^2) = c^4-a^2y^2-2x^2y^2

If a ,b,c , d are in G.P. prove that (a-d)^(2) = (b -c)^(2)+(c-a)^(2) + (d-b)^(2)

If (a+ib)/(c+id)=x+i y , prove that(i) (a-ib)/(c-id)=(x-iy) (ii) (a^2+b^2)/(c^2+d^2)=(x^2+y^2)