Express `((5+sqrt2 i)/(1-sqrt2i))`in the form of `a+ib`

Express (-sqrt(3)+sqrt(-2))(2sqrt(3)-i) in the form of a + i b

Express (2+i)/((1+i)(1-2i)) in the form of a+ib . Find its modulus .

Express (1 -i)^(4) in the form of a +ib.

Express the comple number ((1+sqrt(3)i)^(2))/(sqrt(3)-i) in the form of a+ib . Hence find the modulus and argument of the complex number.

Express ( 4 - 5/2 i)^(2) in the form of a + ib.

Convert ((1)/(2)+2i)^(3) in the form of a+ib .

Express ( 1/3 + 4/3 i)^(2) in the form of a + ib.

Express 1/(1+cos theta-i sin theta) in the form of a +ib .

Express (1 /(2 -2i)+3/(1+i)) ((3+ 4i)/(2-4i)) in the form of a +ib

Express (1+i)^(-1) ,where, i= sqrt(-1) in the form A+iB.