take a graph sheet and mark O, A, B, C as follows
In the square OABC,
OA=AB =BC = OC = 1 unit
Consider right angled OAC
AC = root 1 sqrt + 1 sqrt
=V2 unity [By Pythagoras theorem]
The length of the diagonal (hypotenuse)
AC-V2, which is a surd.
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