Saved Bookmarks
| 1. |
Simplify: (2sqrt(3))/(sqrt(6) + 2) - (4sqrt(3))/(sqrt(6) - 2)\(\frac{2\sqrt 3}{\sqrt 6 +2} - \frac{4\sqrt 3}{\sqrt 6 -2}\) |
|
Answer» \(\frac{2\sqrt 3}{\sqrt 6 +2} - \frac{4\sqrt 3}{\sqrt 6 -2}\) \(= \frac{2\sqrt 3 (\sqrt 6 -2)-4\sqrt 3(\sqrt 6 + 2)}{(\sqrt6 + 2) (\sqrt 6 -2)}\) \(= \frac{2\sqrt{18}- 4\sqrt 3 - 4\sqrt{18}- 8\sqrt 3}{6-4}\) \(\left(\because (a + b)(a - b) = a^2 - b^2\right)\) \(= \frac{-2\sqrt{18} - 12\sqrt 3}2 \) \(= -\sqrt{118}-6\sqrt 3\) \(= -\sqrt{18}-6\sqrt 3\) \(=-3\sqrt 2 - 6\sqrt 3\) |
|