Learn Danish: Jeg er nødt til at finde fejekosten.

While skal and må also express obligation, the phrase at være nødt til specifically means you are forced by circumstances. It translates literally to "am necessitated to" or "obliged to." It emphasizes that the situation requires it, rather than it being a rule or a personal plan.

Why do we need both til and at before the verb finde?

The fixed expression is at være nødt til, ending in the preposition til. In Danish, when a preposition is followed by a verb in its dictionary form (the infinitive), you generally must include the infinitive marker at. This creates combinations like til at, which feels like saying "to to" in English, but is completely mandatory in Danish.

If the subject was plural (like Vi), would nødt get a plural -e ending?

In strict, traditional grammar, yes: you would write Vi er nødte til. However, in modern everyday Danish, the phrase is treated as a fixed expression, and most native speakers just say and write Vi er nødt til. Both are considered correct today, but sticking with nødt is easier and very natural.

I thought kost meant "food" or "diet". Why is it translated as "broom" here?