In Japanese, な-adjectives (also called adjectival nouns) require the particle な when they directly modify a noun. This な connects the adjective to the noun it describes, functioning much like "a quiet place" or "a famous person" in English.
Without な, the adjective cannot directly modify the noun. This is what distinguishes な-adjectives from い-adjectives, which connect to nouns without any particle (e.g. おおきい大きいいえ家 – a big house).
Some common な-adjectives include: げんき元気 (energetic), すき好き (liked/favorite), きらい嫌い (disliked), じょうず上手 (skillful), へた下手 (unskillful), たいへん大変 (tough), たいせつ大切 (important), かんたん簡単 (simple), しんせつ親切 (kind), and べんり便利 (convenient).
Some words that look like い-adjectives are actually な-adjectives. For example, きれい (beautiful/clean) and ゆうめい有名 (famous) end in い but still require な before a noun. This is a common mistake for beginners.
When the noun is understood from context, it can be omitted, leaving just the な-adjective in its predicative form (without な).