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= (√2 + √5 - √6)² + (√2 - √5 + √6)²
= 2 + 5 + 6 + 2√10 - 2√12 - 2√30 + 2 + 5 + 6 - 2√10 + 2√12 - 2√30
= 13 - 2√30 + 13 - 2√30
= 26 - 4√30
= 26 - 2√120
AC =
=
=
= √20 - √6
= 2√5 - √6