Question

1
$\frac{1 - \sqrt{3} }{2 - \sqrt{3} ?}$
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Answer 1

1-√3........2+√3
-------- × --------
2-√3.......2+√3

2 +√3 -2√3 -3
--------------------
2² - √3²

-1 -√3
--------- = -1 -√3
1

Answer 2

Explicação passo-a-passo:

racionalizar

${1-\sqrt{3} \over2-\sqrt{3} }=\\ \\ fator~~racionalizante~~(2+\sqrt{3} )\\ \\ {(1-\sqrt{3} )(2+\sqrt{3} )\over(2-\sqrt{3)(2+\sqrt{3}) } }=\\ \\ {2+\sqrt{3} -2\sqrt{3} -\sqrt{9} \over4+2\sqrt{2} -2\sqrt{2} -\sqrt{9} }=\\ \\ {2-\sqrt{3} -3\over4-3}=\\ \\{ -1-\sqrt{3} \over1}=\\ \\ \fbox{ -1-\sqrt{3} }$