Ways to make six

[Rover110]

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]

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]

Secondary school maths I can do!

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]

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]

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.

[mc2fool]

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.

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

[9873210]

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]

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