The phrase "analysis of the root" is correct and usable in written English.
It can be used in contexts where you are discussing the examination or study of the fundamental part or origin of something, such as in linguistics, mathematics, or problem-solving.
Example: "The analysis of the root of the problem revealed several underlying issues that needed to be addressed."
Alternatives: "examination of the root" or "study of the root".
During Corbyn's leadership, his analysis of the root causes of Islamist terrorism has come under particular scrutiny.
You don't hear much analysis of the root causes of violence or sweeping proposals to solve the problems.
Uptime monitoring service Pingdom has put together a list of thousands of.com domain names owned by Google, based on an analysis of the root zone file.
The prescription of exchange controls relies upon a false analysis of the root causes of Asia's problems.
Thirdly, it also proposes a system for the distributed analysis of the root cause behind the sleeping cell issue.
The conjunction analysis of the root clause may bring us to a new horizon of viewing and understanding the deep nature of human language.
The paper's foreign affairs columnist, Thomas Friedman, won the Pulitzer commentary award - his third Pulitzer - for his analysis of the roots of terrorism.
Mitt Romney's analysis of the roots of various international crises is either naïve or deliberately misleading.
Of course, there's no physical comedian who can equal Chaplin (certainly Buster Keaton was the greater acrobat but not the greater presence), but Chaplin, the director — who had started his screen career, under the direction of Mack Sennett, in classic slapstick comedies — turned his last film into a social critique of slapstick, a moral analysis of the roots of comic indignity.
The commission's chair, Christian Åhlund, was clear in his analysis of the roots of the problem: "It is no coincidence that racist violence is on the rise in the UK at the same time as we see worrying examples of intolerance and hate speech in the newspapers, online and even among politicians," he said.
