Answer:
c. limpies
Explanation:
The phrase begins with "I hope you (would)...", this is a desire, a wish. Just as probability, that calls for the use of the conditional tense.
Another indicator is the use of "que".
The sentence translates as "I hope you would clean the house".
The conditional conjugation of "limpiar" is
yo limpie
tú limpies
él/ella/Ud. limpie
nosotros limpiemos
vosotros limpiéis
ellos/ellas/Uds. limpien
Espero que tú _limpies__ la casa
