Question

Racionaliza y simplifica 14/3-√2

Answer 1

$\frac{14}{3- \sqrt{2}}* \frac{3+\sqrt{2}}{3+\sqrt{2}}= \frac{14(3+\sqrt{2})}{(3+\sqrt{2})(3-\sqrt{2})}= \frac{14(3+\sqrt{2})}{3^{2} - (\sqrt{2})^{2} }= \frac{14(3+\sqrt{2})}{9-4}= \frac{42+14\sqrt{2}}{5}$