Matrix Algebra looking for 33 and 35

Question

Looking for $33$ and $35$ using :

• must use : $4 , 4 , 4 , 4$

• optional : $+ , - , / , x , ^ , \sqrt{} , !$ ( can be used more than once )

example for $2$ : $$( 4/4 ) + ( 4/ 4) = 1 + 1 = 2 $$

I'm looking for $33$ and $35$ now.

Answer 1

$$33=4(4+4)+\frac{4}{4},$$

$$35=4(4+4)+4-\frac{4}{4}.$$

Answer 2

Your example gave an answer in itself: $$\frac44 + \frac44 + \frac44 + \frac44 + \frac44 + \frac44 + \frac44 + \frac44 + \frac44 + \frac44 + \frac44 + \frac44 + \frac44 + \frac44 + \frac44 + \frac44 + \frac44 + \frac44 + \frac44 + \frac44 + \frac44 + \frac44 + \frac44 + \frac44 + \frac44 + \frac44 + \frac44 + \frac44 + \frac44 + \frac44 + \frac44 + \frac44 + \frac44 = 33$$

Answer 3

This page gives $33=4!+4+\frac{\sqrt 4}{.4}, 35=4!+44/4$, both with four fours.