The phrase "a heroic undertaking" is correct and usable in written English.
It can be used to describe a task or project that requires great courage, effort, or determination.
Example: "Climbing Mount Everest is considered a heroic undertaking that tests the limits of human endurance."
Alternatives: "a noble endeavor" or "a valiant effort".
Spurling not only organises the recipes seasonally, she also tests many, a heroic undertaking in a modern kitchen.
Casteret and Chevalier helped turn caving into a heroic undertaking, and the search for the world's deepest cave into an international competition — a precursor to the space race.
The air bridge was a heroic undertaking, and a stunning technical success for a rising humanitarian generation, eager to atone for the legacies of colonialism and for the inequities of the Cold War world order.
It is a clearly going to be a heroic undertaking, one that culminates with a heightened sense of how the interplay of chance and choice, of good and evil, determine an individual's destiny.
His is a grand, heroic undertaking.
But by the force of its marketing campaign (backed by General Motors), and also by the force of its storytelling and handling of images, "Jazz" will fix in the minds of millions of Americans a particular set of notions when the word jazz is uttered: A serious and heroic undertaking.
Someone tells Robinson he is a hero, and while Robinson surely understood his heroic undertaking in breaking baseball's color barrier, he deflected the praise.
And as these thoughts formed in my mind, I met the first man with whom I had ever wished to embark on that heroic undertaking.
Mr. Mailer belonged to the old literary school that regarded novel writing as a heroic enterprise undertaken by heroic characters with egos to match.
Hamlet's latest editors have undertaken a heroic task with great skill and thoroughness, but a reader has to be equally heroic to master the complexities of their edition.
