Question

Resolva a expressão envolvendo radicais:
(24√8 + 4√10) : 4√2

Answer 1

$\Large\boxed{\begin{array}{l}\sf(24\sqrt{8}+4\sqrt{10})\div4\sqrt{2}\\\sf (24\cdot\sqrt{4\cdot2}+4\sqrt{2\cdot5})\div4\sqrt{2}\\\sf (24\cdot2\sqrt{2}+4\cdot\sqrt{2}\cdot\sqrt{5})\div4\sqrt{2}\\\sf(\diagup\!\!\!\!4~\diagup\!\!\!\!\sqrt{2}[12+\sqrt{5}])\div\diagup\!\!\!\!4~\diagup\!\!\!\!\!\sqrt{2}\\\sf=12+\sqrt{5}\end{array}}$

Answer 2

$\frac{24\sqrt{2}+4\sqrt{10}}{4\sqrt{2} }\\\frac{24.2\sqrt{2}+4\sqrt{2.5}}{4\sqrt{2} }\\\frac{48\sqrt{2}+4\sqrt{2}\sqrt{5} }{4\sqrt{2} }\\\frac{4\sqrt{2}(12+\sqrt{5})}{4\sqrt{2}}\\12+\sqrt{5}$