Spurs had plenty of the ball on home soil but it took until the six minutes before the break for them to break the deadlock.
Dele Alli won a penalty from Kyle Naughton near the side of the box, and Harry Kane gladly thudded the spot-kick home.
Heung-Min Son doubled the score in more glamourous circumstances as his acrobatic volley flew past Lukasz Fabianski, who had previously been doing well to keep Tottenham at bay.
After the break, it got even better for Pochettino’s men as Kane thumped home inside the box after an excellent counter attack involving Christian Eriksen, Alli, and Son.