Question

efetue as operações entre os radicais e simplifique quando for possível√32 - √50 + √98 - √18

Answer 1

Expressão: 

$\large\fbox{ \sqrt{32}-\sqrt{50}+\sqrt{98}-\sqrt{18} }$

Antes vou simplificar as raízes:

$\sqrt{32}~\Leftrightarrow~\sqrt{4^2\cdot 2}~\Leftrightarrow~4\sqrt{2}\\\\ \sqrt{50}~\Leftrightarrow~\sqrt{5^2\cdot 2}~\Leftrightarrow~5\sqrt{2}\\\\ \sqrt{98}~\Leftrightarrow~\sqrt{7^2\cdot 2}~\Leftrightarrow~7\sqrt{2}\\\\ \sqrt{18}~\Leftrightarrow~\sqrt{3^2\cdot 2}~\Leftrightarrow~3\sqrt{2}$

Portanto:

$\sqrt{32}-\sqrt{50}+\sqrt{98}-\sqrt{18}\\\\{\hspace{52}\Downarrow}\\\\4\sqrt{2}-5\sqrt{2}+7\sqrt{2}-3\sqrt{2}\\\\{\hspace{52}\Downarrow}\\\\{\hspace{40}\large\fbox{ 3\sqrt{2} }}$

$\approx4.2426$