Math problem (simple but hard)

[sheetsworld]

Using the numbers 2, 4, 4, 6, and 6, make the number 55.

RULES

1) You can multiply, divide, add, subtract, square, square root. However, in order to square root a number, you need a 2. Likewise, to cube root a number, you need a 3.

2) You can only use each number once, and cannot do something to the zero power unless you have previously gotten a zero with other numbers.

3) Also, you cannot combine numbers into bigger numbers. (Example (44+66) /2.) Otherwise, you can do anything.

[LuckayLuck]

<font color="white"> ok, so obviously the 2 has to be used to square root somewhere, because it's impossible to get the odd 5 elsewhere. But that's impossible. So square root is out

(4+6)/2 = 5, another way to get an odd number
omg multiply by 11 and I win
but noooo I can only multiply by 10
HOW DO I GET 11 WITH 4 AND 6
IMPOSSIBLE
noooo so close

oh well, I claim almost victory
(4+6)/2 * (4+6) = 50</font>

[His Boy Elroy]

<font color="white">lets all just try to find ways to make 50

6*4 = 24
6*4 = 24
24 + 24 + 2 = 50! i win too!</font>

[Neil S]

<font color="white">It's easy to get to 54 and 56 but 55 is hard.</font>

[His Boy Elroy]

<font color="white">6^2 = 36
36 + 6 + 4 + 4 = 50! YEEAHHHHH!!!! </font>

[LuckayLuck]

<font color="white"> the key is using 3 numbers to get an odd number, then using the other 2 numbers to get to 55

alternatively, use 3 numbers to get up to a number, square root it, then multiply by the remaining number

not too many combos out there</font>

[LuckayLuck]

<font color="white"> I wasn't aware we could use exponentials...
that could change things, but probably not </font>

[His Boy Elroy]

wait, do we still need our 2 in order to square numbers? or can we do that as many times as we want?

[Neil S]

Good question, can we square for free?

[traz]

i assumed you use the 2 to square?