Odpowiedź:
[tex]8\frac{3}{4} \sqrt{2} +4\sqrt{30}[/tex]
Szczegółowe wyjaśnienie:
2√18 -6√50 +4√30 -3/4√18 +5√98 =
= [tex]2*\sqrt{9*2} - 6 *\sqrt{25*2} +4\sqrt{30} - \frac{3}{4} \sqrt{9*2} +5\sqrt{49*2}=[/tex]
= [tex]2*3\sqrt{2} -6*5\sqrt{2} +4\sqrt{30} -\frac{3}{4} *3\sqrt{2} +5*7*\sqrt{2}[/tex] =
= [tex]6\sqrt{2} -30\sqrt{2} +4\sqrt{30} -\frac{9}{4} \sqrt{2} +35\sqrt{2}[/tex] =
= [tex]-24\sqrt{2} +4\sqrt{30} -2\frac{1}{4} \sqrt{2} +35\sqrt{2}[/tex] =
= [tex]8\frac{3}{4} \sqrt{2} +4\sqrt{30}[/tex]
