解 - SOLVE the Problem by Dissecting It...

Readings & Meanings:

カイ

ゲ

と（く）

と（かす）

と（ける）

to solve, untie, dissolve; explanation

Common Usage:

難解

解く

不可解

理解

正解

Examples:

難解な問題を解く。

彼は不可解な人間だ。とても理解できない。

全問正解の人には特別プレゼントがあります。

Translations:

I solve difficult problems.

He is a mysterious, incomprehensible man. I cannot understand him.

There is a special present for those who got 100% of the questions right.

Radical:

角 is the radical. Its name is Tsuno. It's a pictograph of curved horns. It's the horn radical. Splendid.

刀 is above 牛 on the right. 刀, in English, is katana, or sword. 牛, a cow.

This entry does not look like it's going to be PETA-friendly.

So, you take your knife and dismember a cow, removing the horns, too. In a sense, you are disentangling the cow, separating it into parts you can eat and parts you can use.

In the same way, we must untangle difficult problems in order to understand them.

References:

http://www.kanjinetworks.com/indices/radindex.html
http://www.thejapanesepage.com/node/kanji/ka.htm