THE ART OF WAR BY SUN TZU AND THE PRINCE BY MACHIAVELLI, HOW WOULD YOU
RELATE THESE TWO BOOKS  TO THE THE WAR THAT IS GOING ON BETWEEN
AMERICA AND IRAQ.

Interesting question that your professor asked you :-) 

Clearly, the US strategy has been almost as advanced as it's
technology.  By making a daring strike up through Iraq, without
pausing to liquidate resistance, the US has 'turned its strength
against the enemy's weakness', a great deal of text could be devoted
just to the idea of 'when on dangerous ground, make strategems'.  To
illustrate, some historians criticize Eisenhower's strategy during
WWII as essentially just push a broad front straight across Europe
until you eventually reach Berlin (as it happened, until they met what
became East Germany)  This war, from what we've seen of it, has shown
a strategic brilliance and deception much more like what Sun Tzu would
have approved of -- cutting off and bypassing the enemy, getting
inside his decision tree, etc.

I wouldn't.

The Art of War is how to fight a war , The Prince is how to govern a
country afterwards, For example give the police the same weapons as
your troops to show them you trust them.  If not dont expect the to
risk life or limb on your behalf.
Kemlo