Question

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Answer 1

A=3+√2
B=2-√3
C=√2

A²-BC+(10+C)/A

A²=(3+√2)²=3²+2.3.√2+(√2)²=9+6√2+2=11+6√2

BC=(2-√3).√2=2√2-√3.√2=2√2-√6

(10+C)/A=(10+√2)/(3+√2)
=(10+√2)(3-√2)/(3+√2)(3-√2)
=30-10√2+3√2-(√2)²/3²-(√2)²
=30-10√2+3√2-2/3²-(√2)²
=28-7√2/9-2
=28-7√2/7
=4-√2

A²-BC+(10+C)/A=
=11+6√2-(2√2-√6)+(4-√2)
=11+6√2-2√2+√6+4-√2
=15+3√2+√6

Alternativa "E"