I suggest you try a passive 4-way splitter first. If the rooms are more or less paired, use a two-way at the first split, and then a two-way on each split leg when the runs get between the rooms. The overall losses will be the same, and you'll use less cable.

If you find you have weak-signal symptoms, such as snow or noise lines, you should use an amp. My suggestion would be an in-line booster (the type with the power injector that sends the DC through the coax) installed at the antenna, for best signal-to-noise ratio.

Larry
www.fineelectricco.com