Square roots of most
numbers are irrational – infinitely long strings of non-recurring decimal
digits, with no discernible pattern to them.
Sometimes, however, you
find rather strange things happening…
Then square this new
What have you accidentally
found the value of?
, for some integer value N.
Now try finding what
give you the value of.
Can you make up your
own combination of ‘friendly’ surds that behave like this?
You can use more than two
surds, or subtraction instead of addition…
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