Question

a1" title="2\sqrt{27} + \sqrt{12} -3\sqrt{3} -2\sqrt{12}" alt="2\sqrt{27} + \sqrt{12} -3\sqrt{3} -2\sqrt{12}" align="absmiddle" class="latex-formula">

Answer 1

$2\sqrt{27} +\sqrt{12} -3\sqrt{3} -2 \sqrt{12}\\\\=2\sqrt{27}-3\sqrt 3-\sqrt{12}\\\\=2\sqrt{9 \times 3} - 3 \sqrt 3 - \sqrt{4 \times 3}\\\\=2\cdot 3\sqrt 3 -3 \sqrt 3 -2\sqrt 3\\\\=6\sqrt 3 -3\sqrt 3 -2\sqrt 3 \\\\=6\sqrt 3 - 5 \sqrt 3\\\\=\sqrt 3$