Question

10 ) Racionalize os denominadores​

Answer 1

$\Large\boxed{\begin{array}{l}\rm a)~\sf\dfrac{7}{\sqrt{10}}\cdot\dfrac{\sqrt{10}}{\sqrt{10}}=\dfrac{7\sqrt{10}}{10}\\\\\rm b)~\sf\dfrac{6}{\sqrt{6}}\cdot\dfrac{\sqrt{6}}{\sqrt{6}}=\dfrac{\backslash\!\!\!6\sqrt{6}}{\backslash\!\!\!6}=\sqrt{6}\\\\\rm c)~\sf\dfrac{9}{\sqrt{3}}\cdot\dfrac{\sqrt{3}}{\sqrt{3}}=\dfrac{9\sqrt{3}}{3}=3\sqrt{3}\end{array}}$

$\Large\boxed{\begin{array}{l}\rm d)~\sf\dfrac{\sqrt{5}}{\sqrt{2}}\cdot\dfrac{\sqrt{2}}{\sqrt{2}}=\dfrac{\sqrt{10}}{2}\\\\\rm e)~\sf\dfrac{20}{2\sqrt{5}}\cdot\dfrac{\sqrt{5}}{\sqrt{5}}=\dfrac{2\backslash\!\!\!0\sqrt{5}}{1\backslash\!\!\!0}=2\sqrt{5}\\\\\rm f)~\sf\dfrac{2\sqrt{5}}{5\sqrt{2}}\cdot\dfrac{\sqrt{2}}{\sqrt{2}}=\dfrac{\backslash\!\!\!2\sqrt{10}}{5\cdot\backslash\!\!\!2}=\dfrac{\sqrt{10}}{5}\end{array}}$