Question

racionaliza 2/3rais de 2
$\frac{2}{3 \sqrt{2} }$

Answer 1

Solución
$\textup{La expresi\'on es:}\\\frac{2}{3\sqrt{2}}\\\textup{Multiplicando la fracci\'on por}\,\sqrt{2}\,\textup{se tiene:}\\(\frac{\sqrt{2}}{\sqrt{2}})(\frac{2}{3\sqrt{2}})=\frac{2\sqrt{2}}{3\sqrt{2}.\sqrt{2}}=\\\frac{2\sqrt{2}}{3(2)^{1/2}.(2)^{1/2}}=\\\frac{2\sqrt{2}}{3(2)^{1/2+1/2}}=\\\frac{2\sqrt{2}}{3(2)^{1}}=\\\frac{2\sqrt{2}}{3(2)}=\\\frac{2\sqrt{2}}{6}=\\\frac{1}{3}\sqrt{2}=\\\frac{\sqrt{2}}{3}$
Saludos.