Can anyone find the length of side x in simplest radical form with a rational denominator?

This is a 30-60-90 triangle. With this special template, the hypotenuse is always twice as long as the shorter leg. Put another way: the shorter leg is half as long as the hypotenuse. So the shorter leg is 4/2 = 2 units long.

The longer leg is equal to sqrt(3) times the short leg. The long leg is 2*sqrt(3) units long which is the final answer.

i think there was a typo. you wrote pat brings 3 quarts of ice-cream to the party. each serving of ice-cream is 1 6 quart. how many total servings of ice-cream does pat bring to the party? i think the bold is supposed to be 1/6. so 1 quart of ice cream = 6 servings. 6 * 3 = 18.