Question

Answer 1

\(\sqrt{10+\sqrt{24}+\sqrt{40}+\sqrt{60}}\\ =\sqrt{10+2\sqrt{6}+2\sqrt{10}+2\sqrt{15}}\\ =\sqrt{2+3+5+2\sqrt{2}.\sqrt{3}+2\sqrt{2}.\sqrt{5}+2\sqrt{3}.\sqrt{5}}\\ =\sqrt{\left(\sqrt{2}+\sqrt{3}+\sqrt{5}\right)^2}\\ =\sqrt{2}+\sqrt{3}+\sqrt{5}\\ \Rightarrow B\)