The new carrot has taken root.

新栽的胡萝卜已经长出根了。

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The idea has taken root in his mind.

这个想法已在他脑子里扎了根。

youdao

But due to the lack of water, they have taken root in much drier soil.

但是由于缺水，它们已经在较干燥的土壤上生根了。

youdao

"We now need for the public and the media to recognize the progress and to join us in this fight which is not limited to government but has taken root in all of the society."

VOA: standard.2009.08.14

H5N1 remains an avian influenza and has not taken root in another species, such as pigs.

NPR: Bird Flu 101: How Bad Is The New H7N9 Strain?

But this same cancer has also taken root in the border region of Pakistan.

WHITEHOUSE: President Obama on the Way Forward in Afghanistan and Pakistan | The White House

Chains such as Paul, Lina's (slogan: le beautiful sandwich) or Dailymonop' have also taken root.

ECONOMIST: Faster food replaces the leisurely lunch