Respuesta:
[tex]x=1.46057[/tex]
Explicación paso a paso:
[tex]\frac{\sqrt{x}\times \:12}{\sqrt[3]{8}}=\frac{5.1^2+32}{2^3}\\\\\sqrt{x}\times \:12\times \:2^3=\sqrt[3]{8}\left(5.1^2+32\right)\\\\96\sqrt{x}=\sqrt[3]{8}\left(5.1^2+32\right)\\\\96\sqrt{x}=2\left(32+5.1^2\right)\\\\96\sqrt{x}=2\left(32+26.01\right)\\\\96\sqrt{x}=2\times \:58.01\\\\96\sqrt{x}=116.02\\\\\frac{96\sqrt{x}}{96}=\frac{116.02}{96}\\\\\sqrt{x}=1.20854\\\\x=1.46057[/tex]