# Make 24 With 7,3,7,3

You may use math signs you wish, but you must use the numbers

7,3,7,3

in an equation so it equals

24

Is it possible? If so, show how.

No-nos:

• You are not allowed to combine numbers to make bigger numbers (e.g. you can't have 73)
• You cannot use numbers more than once, you only have 2 7s and 2 3s
• You have to use all the numbers given to you.

What is a math sign? Examples: +, -, *, /, (, )

• Do I have to use both numbers exactly twice, or what? Commented Feb 16, 2015 at 12:44
• @No. 7892142 As expected, yes. Commented Feb 16, 2015 at 12:46
• Should you just add characters only to the left of the equals sign? Commented Jun 26, 2015 at 5:38
• Why are there so many down votes? I mean, I also see this question as a ridiculously simple no-effort quiz, but it's not often too see such a low-scored question recently. (I'm not down voting btw) Commented Jul 16, 2017 at 15:07

(3/7+3)*7 =24
=> (3/7 + 21/7) * 7 =24
=> 24=24

Took me a while!

$$((7/7)+3)*(3!) = 4*(3!) = 24$$

There's an implied $1$, but I didn't actually write it:

$7 \times 3 + 3 + \int_{\{7\}}dx$

And here's another solution (I think you can argue that $7$ is used twice):

$7 \times 3 - 3 = 24$ in base $7$

• I love the second one! Commented Jul 16, 2017 at 15:03
• I love the second one! Commented Jul 16, 2017 at 15:03

Using not all of them:

3*7 + 3 = 24

Using all of them:

$\lceil 7/3 \rceil + 3*7 = 24$

• "math signs" who said you could use ceil? Commented Feb 16, 2015 at 12:49
• Who said I couldn't? "Math sign" isn't exactly a rigorous definition. Commented Feb 16, 2015 at 12:50
• @warspyking "Examples" still does not exclude ceil(). Commented Feb 16, 2015 at 12:53
• Changing the rules to disallow an answer after it's posted sucks, @warspyking; it's incredibly frustrating for someone who's trying to participate in your challenge. Futhermore, the ceiling operation does have what you call a "math sign": $\lceil x \rceil$. Please please review your challenges before you post them and deal with things like this then, rather than snubbing your answerers.
– jscs
Commented Feb 16, 2015 at 20:11
• "Math signs" has no standard definition, @warspyking -- there's nothing to be "not understood". It's up to you to make the rules clear before posting. And, as I showed you, $\lceil\rceil$ is a "math sign".
– jscs
Commented Feb 16, 2015 at 23:58

((7*7)^{1/2})*3+3
$\sqrt{7*7}*3+3$
$=(7)*3+3$
$=21+3$
$=24$

(equivalent to original answer but w/o using "1/2")
Of course it's unclear if a radical is covered by "math signs" ...

square root of 7*7 with is 7 * by 3 + 3

$$(\sqrt{7-3} +\sqrt{7-3})! = (2+2)! = 4$$