What mass of KOH is necessary to prepare 799.2 mL of a solution having a pH = 11.65?

pH = 11.65. Convert to pOH from

pH + pOH = pKw = 14, then convert (OH^-) in moles/L = approximately 4E-3M but you should do it more accurately. You want only 799.2 mL; therefore,
M x L = moles = 4E-3 x 0.7992 = ?moles
Then grams = moles/molar mass. Solve for grams.