Question

4(radical27-3 radical2)-2(radical 3-2radical 2)+4(radical8-radical 12)=

Answer 1

Răspuns:

2radical din 3 -12radical din 2

Answer 2

Explicație pas cu pas:

$4( \sqrt{27} - 3 \sqrt{2} ) - 2( \sqrt{3} - 2 \sqrt{2} ) + 4( \sqrt{8} - \sqrt{12} ) =$

$= 4( 3\sqrt{3} - 3 \sqrt{2} ) - 2( \sqrt{3} - 2 \sqrt{2} ) + 4( 2\sqrt{2} - 2\sqrt{3} )$

$= 12\sqrt{3} - 12 \sqrt{2} - 2 \sqrt{3} + 4 \sqrt{2} + 8\sqrt{2} - 8\sqrt{3}$

$= 12\sqrt{3} - 10 \sqrt{3} + 12 \sqrt{2} - 12 \sqrt{2}$

$= \bf 2 \sqrt{3}$