Question

$sqrt 1 + cos30 + \div 1 - cos30$
1+cos30/1-cos30​

Answer 1

Answer:

$= \frac{1 + \cos30 }{1 - \cos30 } \\ = \frac{1 + \frac{ \sqrt{3} }{2} }{1 - \frac{ \sqrt{3} }{2} } \\ = \frac{ \frac{2 + \sqrt{3} }{2} }{ \frac{2 - \sqrt{3} }{2} } \\ = \frac{2 + \sqrt{3} }{2 - \sqrt{3} } \\ = \frac{2 + \sqrt{3} }{2 - \sqrt{3} } \times \frac{2 + \sqrt{3} }{2 + \sqrt{3} } \\ = \frac{ {(2 + \sqrt{3)} }^{2} }{2 {}^{2} - \sqrt{3 ^{2} } } \\ = \frac{4 + 3 + 2 \times 2 \times \sqrt{3} }{4 - 3 } \\ = 7 + 4 \sqrt{3}$