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Consider $(1 + \sqrt2)^n$. This will be of the form $A + B\sqrt2$ where $A$ and $B$ are integers. Decide which entries in the table below are possibe and which are not.
What happens for $(a + \sqrt p)^n$ for other values of $p$?
Bina-ring
Age 16 to 18
Challenge Level 
Consider $(1 + \sqrt2)^n$. This will be of the form $A + B\sqrt2$ where $A$ and $B$ are integers. Decide which entries in the table below are possibe and which are not.
| A even | A odd | |
| B even | ||
| B odd |
What happens for $(a + \sqrt p)^n$ for other values of $p$?
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