$\"\"$

If n is a positive integer, the complex number $\"\"$ has exactly n distinct n th roots.

The roots are $\"\"$ , where $\"\"$

(a)

The trigonometric form of complex number is $\"\"$ .

Compare $\"\"$ with $\"\"$ .

$\"\"$ .

The square roots of $\"\"$ are :

$\"\"$ , here n = 2 and k = 0 and 1

$\"\"$

If k = 0, the root

$\"\"$

If k = 1, the root

$\"\"$

The square roots are $\"\"$ .

$\"\"$

(b)

The complex numbers are plotted below.

$\"\"$

(c)

The standard form of the roots are $\"\"$ .

$\"\"$

(a) The square roots are $\"\"$ .

(b) The graph is :

$\"\"$