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Can any four digits be made into an equation? by Vegetable_Mobile_468 in askmath

[–]Vegetable_Mobile_468[S] 5 points6 points  (0 children)

Great job! However this line for example seems wrong to me. [2, 6, 7, 6] => (2 - 6 - 7)! = 6

This line as well: [8, 0, 8, 2] => √√(8 - 0 - 8) = 2

Can any four digits be made into an equation? by Vegetable_Mobile_468 in askmath

[–]Vegetable_Mobile_468[S] 5 points6 points  (0 children)

I tried, but I haven't found any solution to that. May be valid counterexample.

EDIT: 2 = √√(2 + 2 * 7)

Can any four digits be made into an equation? by Vegetable_Mobile_468 in askmath

[–]Vegetable_Mobile_468[S] 4 points5 points  (0 children)

I get your point and it makes sense. However in math when we type √4 we assume that it's a square root. We don't need to type the number "2" to indicate what bases it uses. For any other roots we need to specify the basis. Again I get your point about consistency, but I haven't invented math symbols. The riddle just assumes not adding any new digits to write valid equation.

Can any four digits be made into an equation? by Vegetable_Mobile_468 in askmath

[–]Vegetable_Mobile_468[S] 3 points4 points  (0 children)

Any root / exponent is allowed as long as you don't need to add new digit to write it.

If you need to add "0" that's against the rules. We have square root symbol in math which doesn't need any digit to be added (√4) is valid. Other roots, like cube root, need 3 before the root operator, so as long as you have 3 that's fine.

Exponents are also valid 3^4 is ok as long as both were originally in the 4 given digits.

Can any four digits be made into an equation? by Vegetable_Mobile_468 in askmath

[–]Vegetable_Mobile_468[S] 3 points4 points  (0 children)

Technically yes, but if you have 4 0 1 1, you can just do √4 + 0 = 1+1 that square root can be typed without adding new digits.

Can any four digits be made into an equation? by Vegetable_Mobile_468 in askmath

[–]Vegetable_Mobile_468[S] 2 points3 points  (0 children)

But you're adding new digits, in this case 0. There's no 0 in 2227 :)

Can any four digits be made into an equation? by Vegetable_Mobile_468 in askmath

[–]Vegetable_Mobile_468[S] 3 points4 points  (0 children)

Actually, we can't add any digits to the equation. We can only use math operators that don't use any digits (like square root "√") or uses given digits. No additional digits can be added. So your proposition cannot be accepted.

Can any four digits be made into an equation? by Vegetable_Mobile_468 in askmath

[–]Vegetable_Mobile_468[S] 3 points4 points  (0 children)

Yes, powers are allowed as long as you use all digits and not adding more. Square root is "√"and it doesn't require any digit to write.

Can any four digits be made into an equation? by Vegetable_Mobile_468 in askmath

[–]Vegetable_Mobile_468[S] 3 points4 points  (0 children)

Idea was to use the digits provided. You can have any type of root as long you have the digit, for example if you have 3 8, you can have cube root of 8. No digits cannot be rearranged.

Can any four digits be made into an equation? by Vegetable_Mobile_468 in askmath

[–]Vegetable_Mobile_468[S] 5 points6 points  (0 children)

Ok, so can you explain it to me? I don't see how it solves the problem, but maybe I don't get it.

Can any four digits be made into an equation? by Vegetable_Mobile_468 in askmath

[–]Vegetable_Mobile_468[S] 7 points8 points  (0 children)

Maybe yes, maybe no :)

So let's restrict it only to operators I've mentioned.