Question

if a=2+√3÷2-√3, b=2-√3÷2+√3, then the value of a+b=?​

Answer 1

Answer:

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Answer 2

Answer:

$a = \frac{2 + \sqrt{3} }{2 - \sqrt{ 3} } \\ b = \frac{2 - \sqrt{3} }{2 + \sqrt{3} } \\ a + b = \frac{2 + \sqrt{3} }{2 - \sqrt{3} } + \frac{2 - \sqrt{3} }{2 + \sqrt{3} } \\ = \frac{ {(2 + \sqrt{3) } }^{2} + {(2 - \sqrt{3)} }^{2} }{(2 + \sqrt{3)}(2 - \sqrt{3)} } \\ = \frac{4 + 3 + 4 \sqrt{3} + 4 + 3 - 4 \sqrt{3} }{ {(2)}^{2} - ( { \sqrt{3)} }^{2} } \\ = \frac{7 + 7}{4 - 3} \\ = \frac{14}{1} \\ = 14 \: answer$

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