Directions: Use the integers -9 to 9, at most one time each, to fill in the boxes and make a real number product with the greatest value.

### Hint

### Hint

What has to happen to the imaginary terms to make a complex number a real number?

How can we accomplish that?

How can we accomplish that?

### Answer

### Answer

The product with the greatest value is (6 + 8i)(3 + -4i) and (-6 + -8i)(-3 + 4i). That has a product of 60.

Source: Robert Kaplinsky

We got 78 for an answer with (9-6i)(6+4i). Did we do anything wrong?

You can’t repeat values maybe.

I agree 78 is the highest possible product.