# Can you figure out two complex numbers where neither a nor b are zero that when multiplied together become a real number?

Any complex number multiplied by it's conjugate will do, i.e., (a + bi) (a - bi)

This might be a complex number and its conjugate: (a + bi) times (a - bi). More generally, any two complex numbers such that the angle formed by one is the negative of the angle formed by the other. In other words, you can multiply the conjugate by any real constant and still get a real result: (a + bi) times (ca - cbi).

Specific examples:

Multiply (3 + 2i) times (3 - 2i).

Multiply (3 + 2i) times (6 - 4i).

### When two numbers are multiplied together the answer is 10000000 neither of the two numbers contain a zero . what are they?

They cannot be integers or whole numbers; but they can be numbers with decimals. There are many possibilities; if the numbers are the same, then that is the square root of 10000000 which is 3162.277666...repeating. Those same numbers multiplied together = 10000000. If numbers are different, there are other combinations, all involving decimals

### Multiplying negative numbers?

any two negative numbers multiplied together equals a positive number. any two positives numbers multiplied together equal positive numbers and any negative and positive numbers multiplied together equals a negative. negative, negative = positive negative, positive = negative positive, positive = positive