Simple number puzzle

You have to solve the following:

$0$ _ $0$ _ $0 = 6$

$1$ _ $1$ _ $1 = 6$

$2$ _ $2$ _ $2 = 6$

$3$ _ $3$ _ $3 = 6$

$4$ _ $4$ _ $4 = 6$

$5$ _ $5$ _ $5 = 6$

$6$ _ $6$ _ $6 = 6$

$7$ _ $7$ _ $7 = 6$

$8$ _ $8$ _ $8 = 6$

$9$ _ $9$ _ $9 = 6$

You can put as many operations in the spaces but they must not contain a digit/letter. e.g.

You can have $2 \times \sqrt{2} + 2!$ but not $2^2 + \sqrt [3]{2} + 2e$ .

You can only use factorials and double factorials, BODMAS/PEMDAS operations and square roots.

Good luck.

Extension: Find the smallest positive integral value of $n$ such that $n$ _ $n$ _ $n = 6$ has no solutions.

Markdown	Appears as
`italics` or `_italics_`	italics
`bold` or `__bold__`	bold
- bulleted - list	bulleted list
1. numbered 2. list	numbered list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1 paragraph 2	paragraph 1 paragraph 2
`[example link](https://brilliant.org)`	example link
`> This is a quote`	This is a quote
# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"	# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

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