Respuesta :


[tex] = > 17 \sqrt{8} + 9 \sqrt{72} \\ \\ = > 17 \times 2 \sqrt{2} + 9 \times 6 \sqrt{2} \\ \\ = > 34 \sqrt{2} + 54 \sqrt{2} \\ \\ = > 88 \sqrt{2} \\ \\ {1}^{st } option \: 88 \sqrt{2} is \: the \: correct \: answer. \: [/tex]

gmany
[tex]8=4\cdot2\\72=36\cdot2\\\\17\sqrt8+9\sqrt{72}=17\sqrt{4\cdot2}+9\sqrt{36\cdot2}=17\cdot\sqrt4\cdot\sqrt2+9\cdot\sqrt{36}\cdot\sqrt2\\\\=17\cdot2\cdot\sqrt2+9\cdot6\cdot\sqrt2=34\sqrt2+54\sqrt2=88\sqrt2\\\\\text{Answer:}\ \ 88\sqrt2\\\\\text{Used:}\ \sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b} [/tex]