2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/219905We show that the Quantum Isometry Group(as introduced in \cite{goswami}) of the n tori is the classical isometry group. Moreover, using a result in \cite{bhowmick goswami}, we conclude that the Quantum Isometry group of the noncommutative n tori is a Rieffel deformation of the Quantum Isometry Group of the commutative n tori.Minor changes, acknowledgement to an unknown referee who pointed out that a separability assumption can be removed, to appear in Proc. Amer. Math. SocOperator AlgebrasQuantum Algebratext