HELP AGAIN PLEASE THANK YOU

[tex]A. \: 10 \sqrt{11} [/tex] ✅
Step-by-step explanation:
[tex]( \sqrt{22} )(5 \sqrt{2} ) \\ = 5 \sqrt{22 \times 2} \\ = 5 \sqrt{2 \times 2 \times 11} \\ = 5 \sqrt{ {2}^{2} \times 11 } \\ = 5 \times 2 \sqrt{11} \\ = 10 \sqrt{11} [/tex]
[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]