Question

Como racionalizar???
$\frac{\sqrt{3} }{\sqrt{6} }$

Answer 1

$\dfrac{\sqrt{3}}{\sqrt{6}}=\dfrac{\sqrt{3}}{\sqrt{6}}\cdot\dfrac{\sqrt{6}}{\sqrt{6}}$

$\dfrac{\sqrt{3}}{\sqrt{6}}=\dfrac{\sqrt{3}\cdot\sqrt{6}}{\sqrt{6}\cdot\sqrt{6}}$

$\dfrac{\sqrt{3}}{\sqrt{6}}=\dfrac{\sqrt{3\cdot6}}{\sqrt{6\cdot6}}$

$\dfrac{\sqrt{3}}{\sqrt{6}}=\dfrac{\sqrt{3\cdot3\cdot2}}{\sqrt{6^2}}$

$\dfrac{\sqrt{3}}{\sqrt{6}}=\dfrac{\sqrt{3^2\cdot2}}{6}$

$\dfrac{\sqrt{3}}{\sqrt{6}}=\dfrac{3\sqrt{2}}{6}$

$\dfrac{\sqrt{3}}{\sqrt{6}}=\dfrac{\sqrt{2}}{2}$