1. **Stating the problem:** Simplify and solve the expression $179 - 78 - 35$ and verify the value of $F$ given $F.F = 36$. 2. **Calculate the expression:** $$179 - 78 - 35 = 101 - 35 = 66$$ 3. **Given:** $F.F = 36$, which means $F^2 = 36$. 4. **Solve for $F$:** $$F = \pm \sqrt{36}$$ $$F = \pm 6$$ 5. **Interpretation:** The value of $F$ can be either $6$ or $-6$. --- Since the user asked multiple questions, only the first is solved here.