Complex numbers help

Hey guyz,am used on normal problems with no fraction,but this has fraction.Any one who can helpFind the modulus and argument of the following;(i)z=5+i/2+3i (ii)z=(square root of 3+i / 1+i square root of 3)

If , then how would you simplify z into one complex number in the form a + bi? Remember that the polar form of a complex number is .

If you like complex exponentials, then you can write the numerator and the denominator in the form $re^{i\theta}$ and then deduce both from there.

Alternatively, you can compute the modulus as for $w,z \in \mathbb{C}$ we have that $\left| \dfrac{z}{w} \right| = \dfrac{|z|}{|w|}$.
The argument is given by $\arg\left( \dfrac{z}{w} \right)=\arg(z)-\arg(w)$.