If a,b,x,y are real and `3sqrt(x+iy)=a+ib` show that , `3sqrt(x-iy)=a-ib`

If a,b,p,q are real and 3sqrt(a-ib)=p-iq" ""prove that" " " 3sqrt(a+ib)=p+iq. '

If x , y are real and x + iy=0 then

If a,b,c,d,x,y are real and (a+ib)(c+id)=x+iy, show that , (a-ib)(c-id)=x-iy

If sqrt(x-iy)=a-ib and a,b,x,y are real then show that, sqrt(x+iy)=a+ib.

If a,b,c,d,x,y are real and (a+ib)(c+id)=x+iy, show that , (ac-bd)^(2)+(ad+bc)^(2)=x^(2)+y^(2)

If a,b are real and a^(2)+b^(2)=1 then show that the equation (sqrt(1+x)-isqrt(1-x))/(sqrt(1+x)+isqrt(1-x))=a-ib is satisfied by a real value of x.

If x , y are real and x+iy=-i(-2+3i) , then (x , y) is -

If a,b are real and a^(2)+b^(2)=1, then show that, the equation (1-ix)/(1+ix)=a-ib is satisfied by a real value of x.

If x,y are real and x+iy = - i(-2+3i) find x and y .

If x,y are real and x+iy=(5)/(-3+4i) find x and y .