Question

3√10 - √10 / √10 -3

me ajudeeeeem

Answer 1

$\frac{3\sqrt{10}-\sqrt{10}}{\sqrt{10}-3} = \frac{3\sqrt{10}-\sqrt{10}}{\sqrt{10}-3} \cdot \frac{\sqrt{10}+3}{\sqrt{10}+3} = \frac{3\sqrt{100}+9\sqrt{10}-\sqrt{100}-3\sqrt{10}}{(\sqrt{10})^2-3^2} \\ \\= \frac{3\cdot{10}+9\sqrt10-10-3\sqrt{10}}{10-9} = \frac{30-10+9\sqrt{10}-3\sqrt{10}}{1} = 20+6\sqrt{10}$

Answer 2

Simplificação de raízes.   V = raiz
3V10 - V10 . (V10 + 3 ) / V10 - 3 . ( V10 + 3)

30 + 9V10 - 10 - 3V10/ 10+ 3V10 - 3V10 - 9  = 20 + 6V10.