Răspuns: [tex]\pink{\bf \: - 93 \: }[/tex]
Explicație pas cu pas:
[tex] \bf\sqrt{3} \cdot \big(2\sqrt{108} - 5 \sqrt{75} \big)+ \sqrt{2} \cdot \big( \sqrt{72} - 3 \sqrt{242} \big) = [/tex]
[tex]\bf\sqrt{3} \cdot \big(2 \cdot6\sqrt{3} - 5 \cdot5\sqrt{3} \big)+ \sqrt{2} \cdot \big(6 \sqrt{2} - 3 \cdot11\sqrt{2} \big) = [/tex]
[tex]\bf\sqrt{3} \cdot \big(12\sqrt{3} -25\sqrt{3} \big)+ \sqrt{2} \cdot \big(6 \sqrt{2} - 33\sqrt{2} \big) = [/tex]
[tex]\bf\sqrt{3} \cdot \big(-13\sqrt{3} \big)+ \sqrt{2} \cdot \big( - 27\sqrt{2} \big) = [/tex]
[tex]\bf - 13\sqrt{3} \cdot\sqrt{3} - \sqrt{2} \cdot 27\sqrt{2} = [/tex]
[tex]\bf - 13 \cdot3 - 27\cdot 2 = [/tex]
[tex]\bf - 39 - 54 = [/tex]
[tex] \red{ \boxed{\bf \: - 93 \: }}[/tex]
