Question

( 3√2 -2) x ( √2 + 3)

Answer 1

( 3√2 - 2 ) . ( √2 + 3 ) =
3√4 + 9√2 - 2√2 - 6 =
3.2 + 9√2 - 2√2 - 6 =
6 - 6 + 9√2 - 2√2  = 7√2

Answer 2

Aplique a propriedade distributiva:

$(3\sqrt2-2).(\sqrt2+3)=3\sqrt2.\sqrt2+3.3\sqrt2-2\sqrt2-2.3=\\ \\ =6+9\sqrt2-2\sqrt2-6=7\sqrt2$