Question

racionalize em seu caderno o denominador da fracao 4/3-√2

Answer 1

$\frac{4}{3-\sqrt{2}}\\\frac{4}{3-\sqrt{2}}\cdot \frac{3+\sqrt{2}}{3+\sqrt{2}}\\\frac{12+4\sqrt{2}}{3^2-\left(\sqrt{2}\right)^2}\\\frac{12+4\sqrt{2}}{9-2}\\\frac{12+4\sqrt{2}}{7}\\\boxed{\bold{\frac{4\cdot \left(3+\sqrt{2}\right)}{7}}}$