Question

$r = 10 \sqrt{2} - 7 \sqrt{8} + 2 \sqrt{32}$
ayuda porfa​

Answer 1

Respuesta:

 $r=4\sqrt{2~}$

Explicación paso a paso:

$r=10\sqrt{2~}-7\sqrt{8~}+2\sqrt{32~}\\\\r=10\sqrt{2~}-7\sqrt{4\cdot2~}+2\sqrt{16\cdot2~}\\\\r=10\sqrt{2~}-7\sqrt{4~}\cdot\sqrt{2~}+2\sqrt{16~}\cdot\sqrt{2~}\\\\r=10\sqrt{2~}-7\cdot2\cdot\sqrt{2~}+2\cdot4\cdot\sqrt{2~}\\\\r=10\sqrt{2~}-14\sqrt{2~}+8\sqrt{2~}\\\\r=(10-14+8)\sqrt{2~}\\\\r=4\sqrt{2~}$