Question Number 169429 by Fridunatjan08 last updated on 30/Apr/22
$$\sqrt{\mathrm{220}+\mathrm{30}\sqrt{\mathrm{35}}}= \\ $$
Answered by cortano1 last updated on 30/Apr/22
$$\sqrt{\mathrm{220}+\mathrm{2}\sqrt{\mathrm{225}×\mathrm{35}}}\:=\sqrt{\left(\mathrm{45}+\mathrm{175}\right)+\mathrm{2}\sqrt{\mathrm{45}×\mathrm{175}}} \\ $$$$=\:\sqrt{\mathrm{45}}\:+\sqrt{\mathrm{175}} \\ $$$$=\mathrm{3}\sqrt{\mathrm{5}}\:+\mathrm{5}\sqrt{\mathrm{7}} \\ $$
Commented by peter frank last updated on 30/Apr/22
$$\mathrm{thanks} \\ $$