# 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? – No. 7892142 Feb 16 '15 at 12:44
• @No. 7892142 As expected, yes. – warspyking Feb 16 '15 at 12:46
• Should you just add characters only to the left of the equals sign? – Olive Stemforn Jun 26 '15 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) – William Nathanael Jul 16 '17 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! – William Nathanael Jul 16 '17 at 15:03
• I love the second one! – William Nathanael Jul 16 '17 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? – warspyking Feb 16 '15 at 12:49
• Who said I couldn't? "Math sign" isn't exactly a rigorous definition. – No. 7892142 Feb 16 '15 at 12:50
• @warspyking "Examples" still does not exclude ceil(). – No. 7892142 Feb 16 '15 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 Feb 16 '15 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 Feb 16 '15 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

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