This is the 18096th most frequent Russian word.
хирургическому
"Хирургическому" means "surgical" (in the dative case).
The word 'хирургическому' refers to something related to a surgeon or surgery, modifying 'вмешательству' (intervention).
Пациент готовится к хирургическому вмешательству.
The patient is preparing for surgical intervention.
In this sentence, 'хирургическому' describes 'мастерству' (skills), highlighting its field of application.
Она обучается хирургическому мастерству в университете.
She is studying surgical skills at the university.
Here, 'хирургическому' modifies 'использованию' (use), specifying its domain.