To astonish; to astound someone so much that they are taken aback (an idiomatic expression meaning to shock or greatly surprise).
彼のマジックは本当に度肝を抜くほどの巧妙さだった。
His magic was so skillful that it truly astonished people.
初めて見る夜景の美しさに度肝を抜かれた。
I was stunned by the beauty of the night view I saw for the first time.
あの高さのジャンプは観客の度肝を抜いた。
That high jump amazed the audience.