pediríais
-you would ask for
The word pediríais is the conditional form of pedir in the second person plural.
See the full pedir conjugation

pedir

Pensé que nunca me lo pediríais.
I thought you'd never ask.
¿Vienes? Creí que no me lo pediríais.
I thought you'd never ask.
Sabía que le pediriais ayuda.
He knew that you'd go to him for help.
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