Express the following numbers into the form a + ib where a,b are reals:
`(sqrt(6)+i5)(sqrt(6)-i/5)`

Express the following complex number in the form a + ib : (1-i)^2

Express the following complex number in the form a + ib : (4 - 2i)^2

Express the following complex number in the form a + ib : (-2 + 3i)^3

Express the following complex number in the form a + ib : (3 + 5i)(3 - 5i)

Express the following complex number in the form a + ib : (1 + i) - (-1 + 5i)

Express the following in polar form : - 4+4 sqrt3 i .

Express the given complex number in the form a + ib : i^(-12)

Perform the following by the indicated operations. Express the result in the form x + iy,where x, y are real numbers i = sqrt(-1) : (sqrt6+5i)(sqrt6-i/5) .

Express the following complex number in the form of a + ib : 2(5 + i5) + i(5 + i5)

Express the given complex number in the form a + ib : (3 - i4)^2