Respuesta:
[tex]\boxed{\mathsf{\sqrt{2}^{2}*3*2^{2}*3^{2}=216}}[/tex]
Explicación paso a paso:
[tex]\sqrt{2}^{2}*3*2^{2}*3^{2}\\\\\sqrt{2}^{2}=(\sqrt{2})^{2}=(2^{1/2})^{2}=2^{1/2*2}=2^{2/2}=2^{1}=2\\\\3*3^{2}=3^{1+2}=3^{3}=27\\\\\sqrt{2}^{2}*2^{2}=2*2^{2}=2^{1+2}=2^{3}=8\\\texttt{Reuniendo todo y simplificando nos queda:}\\\\\sqrt{2}^{2}*3*2^{2}*3^{2}=2*2^{2}*3*3^{2}=2^{3}*3^{3}=8*27=216[/tex]
