Directions: Use the digits 1- 9, at most one time each, to fill in the boxes so that the result is as close as possible to the number i.

### Hint

What could be done to make a multiplication between a number in polar form and a number in Cartesian form easier?

Which angles for polar form might produce a Cartesian form that has a root in it?

Which angles for polar form might produce a Cartesian form that has a root in it?

### Answer

There are two solutions:

4/8 cis( 6/9 pi) ( sqrt(3) – 1i)

2/4 cis( 6/9 pi) ( sqrt(3) – 1i)

4/8 cis( 6/9 pi) ( sqrt(3) – 1i)

2/4 cis( 6/9 pi) ( sqrt(3) – 1i)

Source: David K Butler