[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]