Everyone’s rosary is blessed, right? We are talking about more than just a necklace. Consult the Book of Blessings, as needed:
198. The Blessing for Rosary Beads (Cf. Book of Blessings 1183-1207) indicates the Church’s esteem for the Rosary. This rite emphasises the community nature of the Rosary. In the rite, the blessing of rosary beads is followed by the blessing of those who meditate on the mysteries of the life, death and resurrection of Our Lord so as to “establish a perfect harmony between prayer and life” (Cf. Book of Blessings 1183-1207).
Public blessing is a possibility given in the Order of Blessings:
As indicated in the Benedictionale, Rosary beads can be blessed publicly, on occasions such as a pilgrimage to a Marian shrine, a feast of Our Lady, especially that of the Holy Rosary, and at the end of the month of October (Cf. Book of Blessings 1183-1184).
The Directory on Popular Piety and the Liturgy is online at the Vatican site.
historical note: The Roman Ritual long lacked the form of blessing because it was reserved to Dominican priests until 1964. Perhaps this would be at least one conciliar reform that folks across the spectrum could applaud?
Went to a Dominican parish, and one of the priests used the short form of it with one of mine. Was pretty nifty. :) (Person was also the first person i met when I moved to that city.)