If `z=(-2)/(1+isqrt(3))`
, then the value of `"arg"(z)` is
a. `pi`
b. `pi/4`
c. `pi/3`
d. `(2pi)/3`

Explanation

To find the argument of the complex number \( z = \frac{-2}{1 + i\sqrt{3}} \), we can follow these steps:

### Step 1: Multiply by the Conjugate
We start by multiplying the numerator and denominator by the conjugate of the denominator. The conjugate of \( 1 + i\sqrt{3} \) is \( 1 - i\sqrt{3} \).

\[ z = \frac{-2}{1 + i\sqrt{3}} \cdot \frac{1 - i\sqrt{3}}{1 - i\sqrt{3}} = \frac{-2(1 - i\sqrt{3})}{(1 + i\sqrt{3})(1 - i\sqrt{3})} \]
...