Question

ajutor efectuati (√3-√2)³

Answer 1

$( \sqrt{3} - \sqrt{2} )^3= \sqrt{3} ^3- \sqrt{2} ^3-3 \cdot \sqrt{3} \cdot \sqrt{2} ( \sqrt{3} - \sqrt{2} )= \\ =3 \sqrt{3} -2 \sqrt{2} -3 \sqrt{6} ( \sqrt{3} - \sqrt{2} )=3 \sqrt{3} -2 \sqrt{2} -3 \sqrt{18} +3 \sqrt{12} = \\ =3 \sqrt{3} -2 \sqrt{2} -3 \cdot 3 \sqrt{2} +3 \cdot 2 \sqrt{3} =3 \sqrt{3} -2 \sqrt{2} -9 \sqrt{2} +6 \sqrt{3} = \\ =9 \sqrt{3} -11 \sqrt{2}$