Simplify the following and express in the form (a+ib): `frac{sqrt 5 +sqrt 3 i}{sqrt 5 - sqrt 3 i}`

Simplify the following and express in the form (a+ib): (2i^3)^2

Simplify the following and express in the form (a+ib): frac{4+3i}{1-i}

Answer the following. Simplify the following and express in the form a + ib: (sqrt(5) + sqrt(3i)) / (sqrt(5) - sqrt(3i))

Simplify the following and express in the form (a+ib): 5/2 i(-4-3i)

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)}