* Adding "-ing" to create the present participle: asking
* Adding "-er" to create a noun: asker (someone who asks)
* Adding "-ed" to create the past tense: asked
* Adding "-able" to create an adjective: askable (capable of being asked)
Keep in mind that "askable" is not a commonly used word.
If you're looking for a specific word with a suffix related to "ask," you might need to provide more context about what you're trying to express.