`sqrt3 + (sqrt3-i 2)-(3-i 2)`

In the following perform the indicated operations and write the result in the form x + iy: sqrt3+(sqrt3-2i)- (3-2i) .

In the following, perform the indicated operations and write the result in the form x+iy: sqrt(3)+(sqrt(3)-2i)-(3-2i)

Express the following in the form a+bi (sqrt3 + 5i) (sqrt3 -5i)^(2) + (-4+ 5i)^(2)

(-sqrt3 + sqrt(-2))(2sqrt3-i)

(-sqrt3 + sqrt(-2))(2sqrt3 - i)

(sqrt5 + i sqrt3)(-2 + i)

Express the following expreeion in the form of a+ib : ((3+isqrt5)(3-isqrt5))/((sqrt3+sqrt2i)-(sqrt3-isqrt2)

Express the following expression in the form of a+ ib : ((3+i sqrt5)(3-i sqrt5))/((sqrt3+sqrt2i)-(sqrt3-isqrt2))

Let z_1=((1+sqrt(3)i)^2(sqrt(3)-i))/(1-i) and z_2=((sqrt(3)+i)^2(1-sqrt(3)i))/(1+i) then

Express the following expression in the form (a+ib), frac{(3+i sqrt 5)(3-i sqrt 5)}{(sqrt 3 + sqrt 2 i) - (sqrt 3 - sqrt 2 i)}