Question

спростіть вираз (7√3+√48-√75)√3

Answer 1

$\displaystyle\bf\\\Big(7\sqrt{3} +\sqrt{48} -\sqrt{75} \Big)\cdot\sqrt{3} =\Big(7\sqrt{3} +\sqrt{16\cdot 3} -\sqrt{25\cdot 3} \Big)\cdot\sqrt{3} =\\\\\\=\Big(7\sqrt{3} +4\sqrt{3} -5\sqrt{3} \Big)\cdot\sqrt{3} =6\sqrt{3} \cdot \sqrt{3} =6\cdot 3=18$