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**reconsideryouranswer****Member**- Registered: 2011-05-11
- Posts: 172

http://www.mathsisfun.com/puzzles/24-from-8-8-3-3-solution.html

Any of them with 8^(1/3), for example, do not count, because there are 1s being used

to make these fractional exponents, but the problem is to have only two 8s

and two 3s. No other digits are to be used.

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I wish a had a more interesting signature line.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,302

Hi reconsideryouranswer;

Welcome to the forum!

Some of that should have been written as:

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,535

I have amended the puzzle to include bobbym's formatting: 24 from 8833 Puzzle - Solution

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

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**janelataille****Member**- Registered: 2011-06-21
- Posts: 2

new soln for 24 included below, plus numbers to 30 (so far)

0 3/8 3/8; 38 38; (3 3)/88; etc

1 3/3 × 8/8; 38/38; 83/83, etc

2 3/3 + 8/8

3 3!/3 + 8/8; 8 3 ∛8

4 ∛8+∛8

5 √((8-3)(8-3))

6 3 + 3 × 8/8

7 3 + 3 + 8/8; 8 3 + ∛8

8 3 × 3 8/8; √(8×8) × 3/3

9 3 × 3 × 8/8; 8 + 3 ∛8

10 3 × 3 + 8/8; (8 3) × ∛8

11 33 8 8

12 ∛(8 ×8) × 3

13 8 + 3 + ∛8

14 38 3 × 8

15 8 + 8 3/3

16 3(8 8/3)

17 8 + 8 + 3/3; 3 × 3! 8/8

18 3 × 3! × 8/8

19 3 × 3! + 8/8

20 (√(8×8) 3)!/3!

21 8(3 3/8)

22 8 + 8 + 3 + 3; 8 × 3 ∛8

23 (8 3) ×3 + 8

24 (new) (8 × 3!)/ ∛8

25 8 + 8 + 3 × 3; (8 3)(8 3); (8 + 3) × 3 8

26 33 8/8; 8 × 3 + ∛8

27 33 8 + 8

28 33 + 8/8

29 8 × 3 + 8 3

30 (√(8×8) 3 ) × 3!

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,302

Hi janelataille;

Welcome to the forum.

Please check your first answer for 26.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**reconsideryouranswer****Member**- Registered: 2011-05-11
- Posts: 172

janelataille wrote:

new soln for 24 included below, plus numbers to 30 (so far)

11 33 8 8

26 33 8/8;

27 33 8 + 8

28 33 + 8/8

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**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 3,847

Hi janelataille,

Nice solutions!

Re #s 11, 26, 27 & 28: I'm sure you meant "3³" instead of "33", and that will give the correct answers.

If you haven't seen them already, there's a helpful group of symbols at the top of the page that you can copy and paste into posts.

"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,302

Hi phrontister;

Howdy!

That does not help with #26

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**gAr****Member**- Registered: 2011-01-09
- Posts: 3,479

Hi phrontister,

Long time!

How are you?

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 3,847

Hi Bobby,

Howdy back!

3³ - 8/8 = 27 - 1 = 26

"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

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**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 3,847

Hi gAr,

I'm very well, thanks. Been away for a long time, and have only just got back. Thought I'd better check in to see what everyone was up to.

"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

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**gAr****Member**- Registered: 2011-01-09
- Posts: 3,479

Hi phrontister,

Okay.

Have a good time!

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 3,847

The next ten:

31. (8 × 8) - 33

32. 33 - (8 / 8)

33. 33 × 8 / 8

34. 33 + (8 / 8)

35. 3³ + (√8 × √8)

36. 38 ³√8

37. (3! × 3!) + (8 / 8)

38. √38 × √38

39. 3(8 + 8 - 3)

40. 38 + ³√8

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**gAr****Member**- Registered: 2011-01-09
- Posts: 3,479

Hi,

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,302

Hi phrontister;

You are right, I thought the game was to make 24!

Hi gAr;

A master formula! I did not know that.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**gAr****Member**- Registered: 2011-01-09
- Posts: 3,479

Hi bobbym,

I had read about such a formula using 4 4's.

Just modified that! Took some time to rearrange it correctly.

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,302

Hi;

Do you remember where you read about the 4 4's ?

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**gAr****Member**- Registered: 2011-01-09
- Posts: 3,479

In some old puzzle book I think.

I do not remember the name of the author or title, it was some years ago.

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,302

Hi;

I found something similar.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**gAr****Member**- Registered: 2011-01-09
- Posts: 3,479

Hi,

What is it?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,302

Hi;

I found a pdf where the guy analyzed it to death.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**gAr****Member**- Registered: 2011-01-09
- Posts: 3,479

Cool one!

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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**reconsideryouranswer****Member**- Registered: 2011-05-11
- Posts: 172

Can't the index for a root only belong to the

set of positive integers?

I am asking this, because in the digit number puzzles, I saw

(The index is shown as .4 as a portion of a solution.)Signature line:

I wish a had a more interesting signature line.

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**gAr****Member**- Registered: 2011-01-09
- Posts: 3,479

Hi reconsideryouranswer,

Though people mostly use only integers, I don't think there's anything wrong in it.

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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