  Based on an $R$-band imaging survey of high-redshift ($z \approx 2$) QSOs
with the 4.2m WHT, we report the detection of extensions to the nuclear PSFs of
two radio-quiet and one radio-loud QSO. The extensions are most likely host
galaxies, with luminosities of at least $3-7$\% of the QSO luminosity. The most
likely values for the luminosities lie in the range $6-18$\% of the QSO
luminosity ($R \sim 19.8-20.9$~mag). Our observations show that, if the
extensions we have detected are indeed galaxies, extraordinary massive and
luminous galaxies are not only characteristic of radio-loud objects, but of
QSOs as an entire class.
