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Ways to make six

Rover110
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Ways to make six

#643878

Postby Rover110 » January 31st, 2024, 10:58 am

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

UncleEbenezer
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Re: Ways to make six

#643962

Postby UncleEbenezer » January 31st, 2024, 3:29 pm

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).

XFool
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Re: Ways to make six

#643986

Postby XFool » January 31st, 2024, 5:02 pm

Secondary school maths I can do! :lol:

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!

tjh290633
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Re: Ways to make six

#644011

Postby tjh290633 » January 31st, 2024, 7:09 pm

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

UncleEbenezer
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Re: Ways to make six

#644016

Postby UncleEbenezer » January 31st, 2024, 7:23 pm

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

#644030

Postby mc2fool » January 31st, 2024, 8:23 pm

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

#644238

Postby 9873210 » February 1st, 2024, 6:07 pm


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

9873210
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Re: Ways to make six

#644242

Postby 9873210 » February 1st, 2024, 6:23 pm

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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