Grammar fix
a deep-rooted problem
entrenched/long-standing problem
a problem that has existed for a long time and is very difficult to change or solve because it is part of the basic structure or habits of a group, system, or society.
Hear it in context
Notice where the phrase sounds natural.
Corruption is a deep-rooted problem in many countries, making real change extremely challenging.
In my opinion, unemployment is a deep-rooted problem in some regions because it is connected to a lack of investment and poor education, so it cannot be solved quickly.
Fix the pattern
One small grammar move makes it sound right.
Not: It's a deep-root problem.
Say: It's a deep-rooted problem.
It's 'deep-rooted' (with -ed) — like a plant with deep roots.
Which sounds natural?
Tap the one a native speaker would say.
'Deep-rooted problem' is the natural collocation; the formal paraphrase is heavy.
Build natural chunks
Words that usually travel with it.
deep-rooted + problem
- a deep-rooted problem
- deep-rooted issues
- deeply rooted
- deep-seated