lùyóuqì de wúxiànwǎngluò hěn kuài.

的 links 路由器 and 无线网络 and shows a relationship like possession or association.

So:

• 路由器 = router
• 无线网络 = wireless network
• 路由器的无线网络 = the router’s wireless network / the wireless network of the router

In Chinese, A 的 B often means B that belongs to / is associated with A.

In Chinese, adjectives often need an adverb before them when they function as the main predicate of the sentence.

So instead of saying:

• 无线网络快

Chinese more naturally says:

• 无线网络很快

Here, 很 does not always strongly mean very. In many simple descriptive sentences, it can be more like a neutral linker that makes the sentence sound natural.

So 很快 can mean:

• fast
• very fast

The exact strength depends on context.

Because 快 is an adjective, and in Chinese, adjectives can directly serve as the predicate.

So Chinese says:

• 无线网络很快 = The wireless network is fast

You do not normally say:

• 无线网络是快 ✘

A useful pattern is:

• noun + 很
  • adjective

For example:

• 手机很贵 = The phone is expensive.
• 这个地方很安静 = This place is quiet.

Yes, it is commonly treated as a single term meaning wireless network.

It is made up of:

• 无线 = wireless
• 网络 = network

Together, 无线网络 means wireless network / Wi‑Fi network.

In everyday speech, people may also shorten it depending on context, but 无线网络 is a standard full expression.

Yes. In Chinese, 快 is very commonly used for things that operate or move quickly, including:

• internet speed
• downloads
• response speed
• devices

So 网络很快 sounds natural and means the network is fast.

You might also hear:

• 网很快 = The internet/network is fast.
• 网速很快 = The internet speed is fast.
• 下载很快 = Downloading is fast.

For internet-related contexts, 快 is very normal.

Yes, that is the literal structure.

It refers to the wireless network provided by the router. In natural English, you might think of it as:

• the router’s Wi‑Fi
• the wireless network from the router
• the router’s wireless connection

So the Chinese structure is literal, but the intended meaning is perfectly natural.

Usually, that would sound unnatural here.

的 is important because it marks the relationship between 路由器 and 无线网络. Without it, the phrase becomes harder to parse naturally.

So use:

• 路由器的无线网络很快。 ✔

not:

• 路由器无线网络很快。 ✘ or awkward

Chinese sometimes omits 的 in certain modifier structures, but in this sentence, keeping 的 is the normal choice.

Pinyin:

• lùyóuqì de wúxiànwǎngluò hěn kuài

A rough breakdown:

• 路由器 = lù yóu qì
• 的 = de (usually a light, neutral tone here)
• 无线网络 = wú xiàn wǎng luò
• 很 = hěn
• 快 = kuài

A learner-friendly rhythm:

• lùyóuqì de | wúxiànwǎngluò | hěn kuài

Try not to stress 的 too much, since it is usually light.

Here it means fast, because it describes the speed of the wireless network.

很快 can also mean soon in other contexts, for example:

• 他很快就来了。 = He’ll come soon.

So the meaning depends on what it is describing.

In your sentence, since it describes 无线网络, it clearly means fast.

Yes, in everyday spoken Chinese, many people say Wi‑Fi.

For example:

• 路由器的 Wi‑Fi 很快。

That sounds natural in casual speech.

Other common variants include:

• 无线网 = wireless internet/network
• 网 = net/internet, when the context is clear

So all of these can appear in real life, but 无线网络 is a clear and standard textbook-style expression.

Yes, it is grammatical and understandable.

That said, in everyday conversation, native speakers might also say simpler versions such as:

• 这个路由器的网很快。 = This router’s internet is fast.
• 这个路由器的 Wi‑Fi 很快。 = This router’s Wi‑Fi is fast.
• 这台路由器网速很快。 = This router’s internet speed is fast.

Your original sentence is perfectly fine, but a native speaker might sometimes choose a shorter or more conversational version.

Chinese does not use articles like the and a/an the way English does.

So:

• 路由器 can mean a router or the router
• 无线网络 can mean a wireless network or the wireless network

The exact meaning depends on context.

In this sentence, context would tell you whether the speaker means:

• the router’s wireless network
• a router’s wireless network

In many cases, English requires an article, but Chinese simply does not.

You can, but the meaning changes.

• 很快 = fast
• 很好 = good

So:

• 路由器的无线网络很快。 = The router’s wireless network is fast.
• 路由器的无线网络很好。 = The router’s wireless network is good.

好 is more general. It could mean the connection is good overall, not specifically fast. If you want to emphasize speed, 快 is the better choice.