Make all the sixes. Fun

91 Views Asked by At

Given the following it is possible to complete each case so that they are all true? (i.e. so that the equation .... = 6 is true)

You can add any mathematical operations and parentheses but you cannot add any numbers.

i.e. $\sqrt{4}$ is fine but $\sqrt[3]{8}$ is not.

So...

$$0\text{ }\text{ }\text{ }0\text{ }\text{ }\text{ }0 = 6$$ $$1\text{ }\text{ }\text{ }1\text{ }\text{ }\text{ }1 = 6$$ $$2\text{ }\text{ }\text{ }2\text{ }\text{ }\text{ }2 = 6$$ $$3\text{ }\text{ }\text{ }3\text{ }\text{ }\text{ }3 = 6$$ $$4\text{ }\text{ }\text{ }4\text{ }\text{ }\text{ }4 = 6$$ $$5\text{ }\text{ }\text{ }5\text{ }\text{ }\text{ }5 = 6$$ $$6\text{ }\text{ }\text{ }6\text{ }\text{ }\text{ }6 = 6$$ $$7\text{ }\text{ }\text{ }7\text{ }\text{ }\text{ }7 = 6$$ $$8\text{ }\text{ }\text{ }8\text{ }\text{ }\text{ }8 = 6$$ $$9\text{ }\text{ }\text{ }9\text{ }\text{ }\text{ }9 = 6$$

For example, the number 6 line could be...

$$6+6-6 = 6$$

There are no trick questions here and it doesn't require using the $\neq$ sign.

Can you find the correct mathematical operations and parentheses to complete each line?

1

There are 1 best solutions below

5
On

$$(0! + 0! + 0!)! = 6$$ $$(1 + 1 + 1)! =6$$ $$2 + 2+ 2 = 6$$ $$3! +3 - 3 = 6$$ $$4 + 4 - \sqrt{4} = 6$$ $$5+5/5 = 6$$ $$7 - 7/7 = 6$$ $$\lfloor \sqrt{8} \rfloor +\lfloor \sqrt{8} \rfloor +\lfloor \sqrt{8} \rfloor =6$$ $$\sqrt{9} + (9 / \sqrt{9}) = 6$$