[tex](5\sqrt{2})(\sqrt{22})[/tex]
Simply multiply the square roots (Both √2 and √22)
As defined, [tex]\sqrt{a}\sqrt{b}=\sqrt{a*b}[/tex]
Therefore, [tex]5\sqrt{2*22}\\5\sqrt{44}[/tex]
Factor 44 out
44 = 11*4 = 11*2*2
Therefore, pull 2 out as we get
[tex]5*2\sqrt{11} \\10\sqrt{11}[/tex]
Therefore, the answer is the first choice, 10√11
