Question

✓3 + ✓2 sobre ✓3 - ✓2

Answer 1

Resposta:

$\Large \frac{ \sqrt{3} + 2 }{ \sqrt{3} - 2} \times \frac{ \sqrt{3} + 2}{ \sqrt{3} + 2} = \\ \\ = \Large\frac{( \sqrt{3} + 2) {}^{2} }{( \sqrt{3} - 2).( \sqrt{3} + 2) } \\ \\ =\Large \dfrac{( \sqrt{3}) {}^{2} + 2 \sqrt{3}.2 + {2}^{2} }{( \sqrt{3} ) {}^{2} - {2}^{2}} \\ \\ = \Large\frac{3 + 4 \sqrt{3} + 4 }{3 - 4} \\ \\ = \Large\dfrac{ 7 + 4 \sqrt{3} }{ - 1} \\ \\ = \Large\Large \boxed{ \green{- 7 - 4 \sqrt{3} }} \\ \\ \Large \boxed{ \underline{ \blue{\bf \: Bons \: Estudos!} \: 14/05/2021}}$