We recommend using a pasta machine to get the pasta dough nice and silky smooth. You can find some fairly cheap ones online.
Add 3 cups of flour to a large mixing bowl and make a well in the center.
Crack the room-temperature eggs in the well, along with the olive oil and some salt and mix them gently with a spatula. Gradually begin to incorporate the flour until a dough forms. Transfer the dough onto a clean and lightly floured surface and knead the dough for about 10 minutes.
Cut the dough in half and wrap each half in a damp cloth and set aside the rest for 1 hour.
Next, cut one half out of one of the two pieces. Cut in half again and roll it out on a lightly floured surface.
Set your pasta machine on the first setting and pass the dough through twice. Repeat this step for each setting (1 through 5).
Place the thinned pasta dough on a flat surface and cover while you work with the rest of the dough so it doesn't lose moisture.
Cut the dough lengthwise into 2-inch (5 cm) wide sheets. Then cut again from side to side to get 2x2-inch (5x5 cm) squares.