This has been set as the "challenge of the week" at my son's school.
Insert mathematical symbols (no digits) to make each calculation equal six. You can use ANY mathematical symbol you like so think carefully.
2 2 2 = 6
3 3 3 = 6
4 4 4 = 6
5 5 5 = 6
6 6 6 = 6
7 7 7 = 6
8 8 8 = 6
9 9 9 = 6
Spoiler:
I don't think my son has learned about cube roots, or if they're allowed. But that's the way I thought for doing 8
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Ways to make six

 The full Lemon
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Re: Ways to make six
What's your definition of "ANY mathematical symbol"? Have dodgy spreadsheet functions made their way into that lexicon, 'cos it's the first way I can see to do 8 (I know no way to express your spoiler that doesn't involve introducing a digit in the notation).
(2,3,5,6,7 trivial; 4 and 9 each one step from 2,3).
(2,3,5,6,7 trivial; 4 and 9 each one step from 2,3).

 The full Lemon
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Re: Ways to make six
Secondary school maths I can do!
Spoiler:
......................... 8  SQR(SQR(8 + 8)) = 6
I don't know what is going on with the display here!
Rover110 wrote: 8 8 8 = 6
Spoiler:
I don't think my son has learned about cube roots, or if they're allowed. But that's the way I thought for doing 8
Spoiler:
......................... 8  SQR(SQR(8 + 8)) = 6
I don't know what is going on with the display here!

 Lemon Half
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Re: Ways to make six
UncleEbenezer wrote:What's your definition of "ANY mathematical symbol"? Have dodgy spreadsheet functions made their way into that lexicon, 'cos it's the first way I can see to do 8 (I know no way to express your spoiler that doesn't involve introducing a digit in the notation).
(2,3,5,6,7 trivial; 4 and 9 each one step from 2,3).
It looks simple to me. Cube root of 8 + ditto + ditto.
TJH

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Re: Ways to make six
tjh290633 wrote:UncleEbenezer wrote:What's your definition of "ANY mathematical symbol"? Have dodgy spreadsheet functions made their way into that lexicon, 'cos it's the first way I can see to do 8 (I know no way to express your spoiler that doesn't involve introducing a digit in the notation).
(2,3,5,6,7 trivial; 4 and 9 each one step from 2,3).
It looks simple to me. Cube root of 8 + ditto + ditto.
TJH
The rules said no digits. The cube root sign requires the digit 3 to distinguish it from other roots.
But a solution that doesn't rely either on digits or a horrible spreadsheet hack has now been posted.

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Re: Ways to make six
UncleEbenezer wrote:tjh290633 wrote:It looks simple to me. Cube root of 8 + ditto + ditto.
TJH
The rules said no digits. The cube root sign requires the digit 3 to distinguish it from other roots.
Cube root was also sort of excluded in the spoiler in the OP.
UncleEbenezer wrote:But a solution that doesn't rely either on digits or a horrible spreadsheet hack has now been posted.
And here's another: Sqrt(8 + (8/8))! = 6

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Re: Ways to make six
There are multiple "universal" answers.
A simple one is to add the digits and then tack on as many copies of "± π/π" as needed.
Or more explicitly for all digits n != 0
nn/n  π/π  π/π  π/π

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Re: Ways to make six
9873210 wrote:
There are multiple "universal" answers.
A simple one is to add the digits and then tack on as many copies of "± π/π" as needed.
Or more explicitly for all digits n != 0
nn/n  π/π  π/π  π/π  π/π  π/π
Won't let me edit original
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