Question

вычислите 7√75+4√48​

Answer 1

$1)7\sqrt{75}+4\sqrt{48}=7\sqrt{25*3}+4\sqrt{16*3}=7*5\sqrt{3}+4*4\sqrt{3}=\\\\=35\sqrt{3}+16\sqrt{3} =51\sqrt{3}\\\\\\2)(\sqrt{5000}+\sqrt{\frac{1}{8}})*\sqrt{18}=\sqrt{5000}*\sqrt{18}+\sqrt{\frac{1}{8}}*\sqrt{18}=\\\\=\sqrt{2*25*100*9*2} +\sqrt{\frac{1}{8}*18} =2*5*10*3+\sqrt{\frac{9}{4}}=\\\\=300+\frac{3}{2}=300+1,5=301,5$