The phrase "deeply rooted value" is correct and is commonly used in written English.
You could use it to describe something that has been firmly held and accepted for a long time. For example, "Honesty is a deeply rooted value in this community."
The grim reality is that evangelicals have seemingly abandoned the deeply rooted values that have previously provided substance to evangelical identity.
Many are now re-examining deeply rooted values, beliefs and attitudes toward our financial system, as well as how to organize, lead and manage our society.
It reflects deeply rooted social values that attach a great deal of sanctity to the measured movement and privacy of women.
Keeping true to deeply rooted Topeka values, a petition citing space issues was promptly circulated by a graduating student in an attempt to keep Mrs. Obama from coming to the ceremony.
As Madsen has described, Cisneros's "effort to negotiate a cross-cultural identity is complicated by the need to challenge the deeply rooted patriarchal values of both Mexican and American cultures".
Despite all the above, Greeks, loyal to their deeply rooted civilized values and love for peace, soon forgave the Germans, re-established friendships and harmonious relationship, etc., but that doesn't mean that Greece ever waived the demands for war compensations and repayment of loans.
Through her works, Cisneros conveys the experiences of Chicanas confronting the "deeply rooted patriarchal values" of Mexican culture through interactions not only with Mexican fathers, but the broader community which exerts pressure upon them to conform to a narrow definition of womanhood and a subservient position to men.
Judge Lange's leadership is also deeply rooted in the value of equity.
And interestingly enough, the ones that have grown — Wholesome Wave, Fair Food Network, for instance — are so deeply rooted in the values of good, clean and fair food for all.
