The words chews, choose sound the same but have different meanings and spellings. Why do chews, choose sound the same even though they are completely different words?
The answer is simple: chews, choose are homophones of the English language.
Plural form of chew.
Third-person singular simple present indicative form of chew.
To select from a number of possible alternatives; decide on and pick out.
To prefer above others: chooses the supermarket over the neighborhood grocery store.
To determine or decide: chose to fly rather than drive.
To make a choice; make a selection: was used to doing as she chose.
Definitions from Wiktionary, Creative Commons Attribution/Share-Alike License, from The American Heritage® Dictionary of the English Language, 4th Edition and Wordnik.
Homophones (literally "same sound") are usually defined as words that share the same pronunciation, regardless of how they are spelled.
If they are spelled the same then they are also homographs (and homonyms); if they are spelled differently then they are also heterographs (literally "different writing").